Niels Borne
Maître de conférence-HDR
CNU : SECTION 25 - Mathematiques
Laboratoire / équipe
Contact
Publications
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"citationFull_s":"Niels Borne, Mohamed Rafik Mammeri. Some consequences of Frobenius descent for torsors. 2025. <a target=\"_blank\" href=\"https://hal.science/hal-04954516v1\">⟨hal-04954516⟩</a>",
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"title_s":["Parabolic connections and stack of roots"],
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"citationRef_s":"<i>Journal of Geometry and Physics</i>, 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>",
"citationFull_s":"Indranil Biswas, Niels Borne, Sorin Dumitrescu, Sebastian Heller, Christian Pauly. Parabolic opers and differential operators. <i>Journal of Geometry and Physics</i>, 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"],
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"citationFull_s":"Indranil Biswas, Niels Borne. Tamely ramified torsors and parabolic bundles. <i>Annali della Scuola Normale Superiore di Pisa. Classe di Scienze</i>, 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"],
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"citationRef_s":"<i>Algebra & Number Theory</i>, 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. <i>Algebra & Number Theory</i>, 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"],
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"citationRef_s":"<i>Transformation Groups</i>, 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. <i>Transformation Groups</i>, 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"],
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"citationFull_s":"Niels Borne. Parabolic Sheaves and Logarithmic Geometry. <i>Analytic and Algebraic Geometry</i>, 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"],
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"citationRef_s":"<i>Mathematical News / Mathematische Nachrichten</i>, 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. <i>Mathematical News / Mathematische Nachrichten</i>, 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"],
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"citationRef_s":"<i>Journal of Algebraic Geometry</i>, 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. <i>Journal of Algebraic Geometry</i>, 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"],
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"citationRef_s":"<i>Bulletin de la société mathématique de France</i>, 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. <i>Bulletin de la société mathématique de France</i>, 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"],
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"citationRef_s":"<i>Advances in Mathematics</i>, 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. <i>Advances in Mathematics</i>, 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"],
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"citationRef_s":"<i>Indiana University Mathematics Journal</i>, 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. <i>Indiana University Mathematics Journal</i>, 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"],
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"citationRef_s":"<i>Journal of Algebra</i>, 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. <i>Journal of Algebra</i>, 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"],
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"citationRef_s":"<i>International Mathematics Research Notices</i>, 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. <i>International Mathematics Research Notices</i>, 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"],
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"citationRef_s":"<i>Advances in Mathematics</i>, 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. <i>Advances in Mathematics</i>, 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"],
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"citationRef_s":"<i>Mathematische Zeitschrift</i>, 2004, 248 n° 2, pp.351--367",
"citationFull_s":"Niels Borne. A relative Shafarevich theorem. <i>Mathematische Zeitschrift</i>, 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"],
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"citationRef_s":"<i>Canadian Journal of Mathematics = Journal Canadien de Mathématiques</i>, 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. <i>Canadian Journal of Mathematics = Journal Canadien de Mathématiques</i>, 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"],
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"citationRef_s":"<i>Comptes Rendus. Mathématique</i>, 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. <i>Comptes Rendus. Mathématique</i>, 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"],
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"citationRef_s":"<i>Bulletin de la société mathématique de France</i>, 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. <i>Bulletin de la société mathématique de France</i>, 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"],
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"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"],
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"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>",
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