Niels Borne

Maître de conférences-HDR CNU : SECTION 25 - MATHEMATIQUES

UMR 8524 - LABORATOIRE PAUL PAINLEVE

Publications

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Journal of Geometry and Physics, 2023, 187, pp.104791. <a target=\"_blank\" href=\"https://dx.doi.org/10.1016/j.geomphys.2023.104791\">⟨10.1016/j.geomphys.2023.104791⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-04396497v1\">⟨hal-04396497⟩</a>", "title_s":["Parabolic opers and differential operators"], "authFullName_s":["Indranil Biswas","Niels Borne","Sorin Dumitrescu","Sebastian Heller","Christian Pauly"], "halId_s":"hal-04396497", "docType_s":"ART", "producedDateY_i":2023 },{ "citationRef_s":"Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2022, pp.293-314. <a target=\"_blank\" href=\"https://dx.doi.org/10.2422/2036-2145.202005_015\">⟨10.2422/2036-2145.202005_015⟩</a>", "citationFull_s":"Indranil Biswas, Niels Borne. Tamely ramified torsors and parabolic bundles. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2022, pp.293-314. <a target=\"_blank\" href=\"https://dx.doi.org/10.2422/2036-2145.202005_015\">⟨10.2422/2036-2145.202005_015⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-02912474v1\">⟨hal-02912474⟩</a>", "title_s":["Tamely ramified torsors and parabolic bundles"], "authFullName_s":["Indranil Biswas","Niels Borne"], "halId_s":"hal-02912474", "docType_s":"ART", "producedDateY_i":2022 },{ "citationRef_s":"Algebra & Number Theory, 2019, 13 (3), pp.531-576. <a target=\"_blank\" href=\"https://dx.doi.org/10.2140/ant.2019.13.531\">⟨10.2140/ant.2019.13.531⟩</a>", "citationFull_s":"Niels Borne, Angelo Vistoli. Fundamental gerbes. Algebra & Number Theory, 2019, 13 (3), pp.531-576. <a target=\"_blank\" href=\"https://dx.doi.org/10.2140/ant.2019.13.531\">⟨10.2140/ant.2019.13.531⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-02912469v1\">⟨hal-02912469⟩</a>", "title_s":["Fundamental gerbes"], "authFullName_s":["Niels Borne","Angelo Vistoli"], "halId_s":"hal-02912469", "docType_s":"ART", "producedDateY_i":2019 },{ "citationRef_s":"Transformation Groups, 2017, 22 (1), pp.91-104. <a target=\"_blank\" href=\"https://dx.doi.org/10.1007/s00031-017-9419-8\">⟨10.1007/s00031-017-9419-8⟩</a>", "citationFull_s":"Indranil Biswas, Niels Borne. THE NORI FUNDAMENTAL GERBE OF TAME STACKS. Transformation Groups, 2017, 22 (1), pp.91-104. <a target=\"_blank\" href=\"https://dx.doi.org/10.1007/s00031-017-9419-8\">⟨10.1007/s00031-017-9419-8⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-02912473v1\">⟨hal-02912473⟩</a>", "title_s":["THE NORI FUNDAMENTAL GERBE OF TAME STACKS"], "authFullName_s":["Indranil Biswas","Niels Borne"], "halId_s":"hal-02912473", "docType_s":"ART", "producedDateY_i":2017 },{ "citationRef_s":"Analytic and Algebraic Geometry, Springer Singapore, pp.67-84, 2017, <a target=\"_blank\" href=\"https://dx.doi.org/10.1007/978-981-10-5648-2_5\">⟨10.1007/978-981-10-5648-2_5⟩</a>", "citationFull_s":"Niels Borne. Parabolic Sheaves and Logarithmic Geometry. Analytic and Algebraic Geometry, Springer Singapore, pp.67-84, 2017, <a target=\"_blank\" href=\"https://dx.doi.org/10.1007/978-981-10-5648-2_5\">⟨10.1007/978-981-10-5648-2_5⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-02906959v1\">⟨hal-02906959⟩</a>", "title_s":["Parabolic Sheaves and Logarithmic Geometry"], "authFullName_s":["Niels Borne"], "halId_s":"hal-02906959", "docType_s":"COUV", "producedDateY_i":2017 },{ "citationRef_s":"Mathematical News / Mathematische Nachrichten, 2015, 288 (17-18), pp.1939-1951. <a target=\"_blank\" href=\"https://dx.doi.org/10.1002/mana.201400251\">⟨10.1002/mana.201400251⟩</a>", "citationFull_s":"Niels Borne, Michel Emsalem, Jakob Stix. Lifting Galois sections along torsors. Mathematical News / Mathematische Nachrichten, 2015, 288 (17-18), pp.1939-1951. <a target=\"_blank\" href=\"https://dx.doi.org/10.1002/mana.201400251\">⟨10.1002/mana.201400251⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-02914105v1\">⟨hal-02914105⟩</a>", "title_s":["Lifting Galois sections along torsors"], "authFullName_s":["Niels Borne","Michel Emsalem","Jakob Stix"], "halId_s":"hal-02914105", "docType_s":"ART", "producedDateY_i":2015 },{ "citationRef_s":"Journal of Algebraic Geometry, 2015, 24 (2), pp.311-353. <a target=\"_blank\" href=\"https://dx.doi.org/10.1090/S1056-3911-2014-00638-X\">⟨10.1090/S1056-3911-2014-00638-X⟩</a>", "citationFull_s":"Niels Borne, Angelo Vistoli. The Nori fundamental gerbe of a fibered category. Journal of Algebraic Geometry, 2015, 24 (2), pp.311-353. <a target=\"_blank\" href=\"https://dx.doi.org/10.1090/S1056-3911-2014-00638-X\">⟨10.1090/S1056-3911-2014-00638-X⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-02912468v1\">⟨hal-02912468⟩</a>", "title_s":["The Nori fundamental gerbe of a fibered category"], "authFullName_s":["Niels Borne","Angelo Vistoli"], "halId_s":"hal-02912468", "docType_s":"ART", "producedDateY_i":2015 },{ "citationRef_s":"Bulletin de la société mathématique de France, 2014, 142 (3), pp.465-487. <a target=\"_blank\" href=\"https://dx.doi.org/10.24033/bsmf.2671\">⟨10.24033/bsmf.2671⟩</a>", "citationFull_s":"Niels Borne, Michel Emsalem. Un critère d'épointage des sections $\\ell$-adiques. Bulletin de la société mathématique de France, 2014, 142 (3), pp.465-487. <a target=\"_blank\" href=\"https://dx.doi.org/10.24033/bsmf.2671\">⟨10.24033/bsmf.2671⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-02912434v1\">⟨hal-02912434⟩</a>", "title_s":["Un critère d'épointage des sections $\\ell$-adiques"], "authFullName_s":["Niels Borne","Michel Emsalem"], "halId_s":"hal-02912434", "docType_s":"ART", "producedDateY_i":2014 },{ "citationRef_s":"Advances in Mathematics, 2012, 231 (3-4), pp.1327-1363. <a target=\"_blank\" href=\"https://dx.doi.org/10.1016/j.aim.2012.06.015\">⟨10.1016/j.aim.2012.06.015⟩</a>", "citationFull_s":"Niels Borne, Angelo Vistoli. Parabolic sheaves on logarithmic schemes. Advances in Mathematics, 2012, 231 (3-4), pp.1327-1363. <a target=\"_blank\" href=\"https://dx.doi.org/10.1016/j.aim.2012.06.015\">⟨10.1016/j.aim.2012.06.015⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-02912467v1\">⟨hal-02912467⟩</a>", "title_s":["Parabolic sheaves on logarithmic schemes"], "authFullName_s":["Niels Borne","Angelo Vistoli"], "halId_s":"hal-02912467", "docType_s":"ART", "producedDateY_i":2012 },{ "citationRef_s":"Indiana University Mathematics Journal, 2009, 58 (1), pp.137-180. <a target=\"_blank\" href=\"https://dx.doi.org/10.1512/iumj.2009.58.3734\">⟨10.1512/iumj.2009.58.3734⟩</a>", "citationFull_s":"Niels Borne. Sur les représentations du groupe fondamental d'une variété privée d'un diviseur à croisements normaux simples. Indiana University Mathematics Journal, 2009, 58 (1), pp.137-180. <a target=\"_blank\" href=\"https://dx.doi.org/10.1512/iumj.2009.58.3734\">⟨10.1512/iumj.2009.58.3734⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-02906958v1\">⟨hal-02906958⟩</a>", "title_s":["Sur les représentations du groupe fondamental d'une variété privée d'un diviseur à croisements normaux simples"], "authFullName_s":["Niels Borne"], "halId_s":"hal-02906958", "docType_s":"ART", "producedDateY_i":2009 },{ "citationRef_s":"Journal of Algebra, 2008, 320 (6), pp.2615-2623. <a target=\"_blank\" href=\"https://dx.doi.org/10.1016/j.jalgebra.2008.04.030\">⟨10.1016/j.jalgebra.2008.04.030⟩</a>", "citationFull_s":"Niels Borne, Michel Emsalem. Note sur la détermination algébrique du groupe fondamental pro-résoluble d'une courbe affine. Journal of Algebra, 2008, 320 (6), pp.2615-2623. <a target=\"_blank\" href=\"https://dx.doi.org/10.1016/j.jalgebra.2008.04.030\">⟨10.1016/j.jalgebra.2008.04.030⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-02906956v1\">⟨hal-02906956⟩</a>", "title_s":["Note sur la détermination algébrique du groupe fondamental pro-résoluble d'une courbe affine"], "authFullName_s":["Niels Borne","Michel Emsalem"], "halId_s":"hal-02906956", "docType_s":"ART", "producedDateY_i":2008 },{ "citationRef_s":"International Mathematics Research Notices, 2007, 2007, <a target=\"_blank\" href=\"https://dx.doi.org/10.1093/imrn/rnm049\">⟨10.1093/imrn/rnm049⟩</a>", "citationFull_s":"Niels Borne. Fibrés Paraboliques et Champ des Racines. International Mathematics Research Notices, 2007, 2007, <a target=\"_blank\" href=\"https://dx.doi.org/10.1093/imrn/rnm049\">⟨10.1093/imrn/rnm049⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-02906955v1\">⟨hal-02906955⟩</a>", "title_s":["Fibrés Paraboliques et Champ des Racines"], "authFullName_s":["Niels Borne"], "halId_s":"hal-02906955", "docType_s":"ART", "producedDateY_i":2007 },{ "citationRef_s":"Advances in Mathematics, 2006, 201 (2), pp.454-515. <a target=\"_blank\" href=\"https://dx.doi.org/10.1016/j.aim.2005.03.002\">⟨10.1016/j.aim.2005.03.002⟩</a>", "citationFull_s":"Niels Borne. Cohomology of G-sheaves in positive characteristic. Advances in Mathematics, 2006, 201 (2), pp.454-515. <a target=\"_blank\" href=\"https://dx.doi.org/10.1016/j.aim.2005.03.002\">⟨10.1016/j.aim.2005.03.002⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-02906940v1\">⟨hal-02906940⟩</a>", "title_s":["Cohomology of G-sheaves in positive characteristic"], "authFullName_s":["Niels Borne"], "halId_s":"hal-02906940", "docType_s":"ART", "producedDateY_i":2006 },{ "citationRef_s":"Mathematische Zeitschrift, 2004, 248 n° 2, pp.351--367", "citationFull_s":"Niels Borne. A relative Shafarevich theorem. Mathematische Zeitschrift, 2004, 248 n° 2, pp.351--367. <a target=\"_blank\" href=\"https://hal.science/hal-00016083v1\">⟨hal-00016083⟩</a>", "title_s":["A relative Shafarevich theorem"], "authFullName_s":["Niels Borne"], "halId_s":"hal-00016083", "docType_s":"ART", "producedDateY_i":2004 },{ "citationRef_s":"Canadian Journal of Mathematics, 2003, 55 (4), pp.693-710. <a target=\"_blank\" href=\"https://dx.doi.org/10.4153/CJM-2003-029-2\">⟨10.4153/CJM-2003-029-2⟩</a>", "citationFull_s":"Niels Borne. Une formule de Riemann-Roch équivariante pour les courbes. Canadian Journal of Mathematics, 2003, 55 (4), pp.693-710. <a target=\"_blank\" href=\"https://dx.doi.org/10.4153/CJM-2003-029-2\">⟨10.4153/CJM-2003-029-2⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-02906947v1\">⟨hal-02906947⟩</a>", "title_s":["Une formule de Riemann-Roch équivariante pour les courbes"], "authFullName_s":["Niels Borne"], "halId_s":"hal-02906947", "docType_s":"ART", "producedDateY_i":2003 },{ "citationRef_s":"Comptes Rendus. Mathématique, 2003, 337 (2), pp.99-104. <a target=\"_blank\" href=\"https://dx.doi.org/10.1016/S1631-073X(03)00282-6\">⟨10.1016/S1631-073X(03)00282-6⟩</a>", "citationFull_s":"Niels Borne. Cohomologie des G-faisceaux en caractéristique positive. Comptes Rendus. Mathématique, 2003, 337 (2), pp.99-104. <a target=\"_blank\" href=\"https://dx.doi.org/10.1016/S1631-073X(03)00282-6\">⟨10.1016/S1631-073X(03)00282-6⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-02906951v1\">⟨hal-02906951⟩</a>", "title_s":["Cohomologie des G-faisceaux en caractéristique positive"], "authFullName_s":["Niels Borne"], "halId_s":"hal-02906951", "docType_s":"ART", "producedDateY_i":2003 },{ "citationRef_s":"Bulletin de la société mathématique de France, 2002, 130 (1), pp.101-121. <a target=\"_blank\" href=\"https://dx.doi.org/10.24033/bsmf.2415\">⟨10.24033/bsmf.2415⟩</a>", "citationFull_s":"Niels Borne. Structure du groupe de Grothendieck équivariant d’une courbe et modules galoisiens. Bulletin de la société mathématique de France, 2002, 130 (1), pp.101-121. <a target=\"_blank\" href=\"https://dx.doi.org/10.24033/bsmf.2415\">⟨10.24033/bsmf.2415⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-02906949v1\">⟨hal-02906949⟩</a>", "title_s":["Structure du groupe de Grothendieck équivariant d’une courbe et modules galoisiens"], "authFullName_s":["Niels Borne"], "halId_s":"hal-02906949", "docType_s":"ART", "producedDateY_i":2002 },{ "citationRef_s":"Bruno Deschamps. SMF, 5, pp.xx+214, 2001, Séminaires et Congrès, Michel Waldschmidt, 2-85629-116-3", "citationFull_s":"Niels Borne, Pierre Dèbes, Jean-Claude Douai, Michel Emsalem, Stéphane Flon, et al.. Arithmétique des revêtements algébriques. Bruno Deschamps. SMF, 5, pp.xx+214, 2001, Séminaires et Congrès, Michel Waldschmidt, 2-85629-116-3. <a target=\"_blank\" href=\"https://hal.science/hal-02299857v1\">⟨hal-02299857⟩</a>", "title_s":["Arithmétique des revêtements algébriques"], "authFullName_s":["Niels Borne","Pierre Dèbes","Jean-Claude Douai","Michel Emsalem","Stéphane Flon","Qing Liu","Philippe Satgé"], "halId_s":"hal-02299857", "docType_s":"OUV", "producedDateY_i":2001 },{ "citationRef_s":"Mathématiques [math]. Université Sciences et Technologies - Bordeaux I, 2000. Français. <a target=\"_blank\" href=\"https://www.theses.fr/\">⟨NNT : ⟩</a>", "citationFull_s":"Niels Borne. Une formule de Riemann-Roch équivariante pour les courbes. Mathématiques [math]. Université Sciences et Technologies - Bordeaux I, 2000. Français. <a target=\"_blank\" href=\"https://www.theses.fr/\">⟨NNT : ⟩</a>. <a target=\"_blank\" href=\"https://theses.hal.science/tel-00001272v1\">⟨tel-00001272⟩</a>", "title_s":["Une formule de Riemann-Roch équivariante pour les courbes"], "authFullName_s":["Niels Borne"], "halId_s":"tel-00001272", "docType_s":"THESE", "producedDateY_i":2000 }] } }

hal-04954516

Niels Borne, Mohamed Rafik Mammeri

Some consequences of Frobenius descent for torsors

2025

hal-03510686

Niels Borne, Amine Laaroussi

Parabolic connections and stack of roots

Bulletin des Sciences Mathématiques, 2023, 187, pp.103294. ⟨10.1016/j.bulsci.2023.103294⟩

hal-04396497

Indranil Biswas, Niels Borne, Sorin Dumitrescu, Sebastian Heller, Christian Pauly

Parabolic opers and differential operators

Journal of Geometry and Physics, 2023, 187, pp.104791. ⟨10.1016/j.geomphys.2023.104791⟩

hal-02912474

Indranil Biswas, Niels Borne

Tamely ramified torsors and parabolic bundles

Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2022, pp.293-314. ⟨10.2422/2036-2145.202005_015⟩

hal-02912469

Niels Borne, Angelo Vistoli

Fundamental gerbes

Algebra & Number Theory, 2019, 13 (3), pp.531-576. ⟨10.2140/ant.2019.13.531⟩

hal-02912473

Indranil Biswas, Niels Borne

THE NORI FUNDAMENTAL GERBE OF TAME STACKS

Transformation Groups, 2017, 22 (1), pp.91-104. ⟨10.1007/s00031-017-9419-8⟩

hal-02906959

Niels Borne

Parabolic Sheaves and Logarithmic Geometry

Analytic and Algebraic Geometry, Springer Singapore, pp.67-84, 2017, ⟨10.1007/978-981-10-5648-2_5⟩

hal-02914105

Niels Borne, Michel Emsalem, Jakob Stix

Lifting Galois sections along torsors

Mathematical News / Mathematische Nachrichten, 2015, 288 (17-18), pp.1939-1951. ⟨10.1002/mana.201400251⟩

hal-02912468

Niels Borne, Angelo Vistoli

The Nori fundamental gerbe of a fibered category

Journal of Algebraic Geometry, 2015, 24 (2), pp.311-353. ⟨10.1090/S1056-3911-2014-00638-X⟩

hal-02912434

Niels Borne, Michel Emsalem

Un critère d'épointage des sections $\ell$-adiques

Bulletin de la société mathématique de France, 2014, 142 (3), pp.465-487. ⟨10.24033/bsmf.2671⟩

hal-02912467

Niels Borne, Angelo Vistoli

Parabolic sheaves on logarithmic schemes

Advances in Mathematics, 2012, 231 (3-4), pp.1327-1363. ⟨10.1016/j.aim.2012.06.015⟩

hal-02906958

Niels Borne

Sur les représentations du groupe fondamental d'une variété privée d'un diviseur à croisements normaux simples

Indiana University Mathematics Journal, 2009, 58 (1), pp.137-180. ⟨10.1512/iumj.2009.58.3734⟩

hal-02906956

Niels Borne, Michel Emsalem

Note sur la détermination algébrique du groupe fondamental pro-résoluble d'une courbe affine

Journal of Algebra, 2008, 320 (6), pp.2615-2623. ⟨10.1016/j.jalgebra.2008.04.030⟩

hal-02906955

Niels Borne

Fibrés Paraboliques et Champ des Racines

International Mathematics Research Notices, 2007, 2007, ⟨10.1093/imrn/rnm049⟩

hal-02906940

Niels Borne

Cohomology of G-sheaves in positive characteristic

Advances in Mathematics, 2006, 201 (2), pp.454-515. ⟨10.1016/j.aim.2005.03.002⟩

hal-00016083

Niels Borne

A relative Shafarevich theorem

Mathematische Zeitschrift, 2004, 248 n° 2, pp.351--367

hal-02906947

Niels Borne

Une formule de Riemann-Roch équivariante pour les courbes

Canadian Journal of Mathematics, 2003, 55 (4), pp.693-710. ⟨10.4153/CJM-2003-029-2⟩

hal-02906951

Niels Borne

Cohomologie des G-faisceaux en caractéristique positive

Comptes Rendus. Mathématique, 2003, 337 (2), pp.99-104. ⟨10.1016/S1631-073X(03)00282-6⟩

hal-02906949

Niels Borne

Structure du groupe de Grothendieck équivariant d’une courbe et modules galoisiens

Bulletin de la société mathématique de France, 2002, 130 (1), pp.101-121. ⟨10.24033/bsmf.2415⟩

hal-02299857

Niels Borne, Pierre Dèbes, Jean-Claude Douai, Michel Emsalem, Stéphane Flon, Qing Liu, Philippe Satgé

Arithmétique des revêtements algébriques

Bruno Deschamps. SMF, 5, pp.xx+214, 2001, Séminaires et Congrès, Michel Waldschmidt, 2-85629-116-3

tel-00001272

Niels Borne

Une formule de Riemann-Roch équivariante pour les courbes

Mathématiques [math]. Université Sciences et Technologies - Bordeaux I, 2000. Français. ⟨NNT : ⟩

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Niels Borne

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