Comptes Rendus
Article de recherche - Géométrie algébrique
Fano hypersurfaces in positive characteristic
Comptes Rendus. Mathématique, Volume 362 (2024), pp. 107-115.

We prove that a general Fano hypersurface in a projective space over an algebraically closed field is separably rationally connected.

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DOI : 10.5802/crmath.438

Yi Zhu 1

1 United States
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits
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     author = {Yi Zhu},
     title = {Fano hypersurfaces in positive characteristic},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {107--115},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {362},
     year = {2024},
     doi = {10.5802/crmath.438},
     language = {en},
}
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Yi Zhu. Fano hypersurfaces in positive characteristic. Comptes Rendus. Mathématique, Volume 362 (2024), pp. 107-115. doi : 10.5802/crmath.438. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.438/

[1] Dawei Chen; Izzet Coskun Towards Mori’s program for the moduli space of stable maps, Am. J. Math., Volume 133 (2011) no. 5, pp. 1389-1419 | DOI | MR | Zbl

[2] Tom Graber; Joe Harris; Jason M. Starr Families of rationally connected varieties, J. Am. Math. Soc., Volume 16 (2003) no. 1, pp. 57-67 | DOI | MR | Zbl

[3] Robin Hartshorne Algebraic geometry, Graduate Texts in Mathematics, 52, Springer, 1977 | DOI

[4] Aise J. de Jong; Jason M. Starr Every rationally connected variety over the function field of a curve has a rational point, Am. J. Math., Volume 125 (2003) no. 3, pp. 567-580 | DOI | MR | Zbl

[5] János Kollár Rational curves on algebraic varieties, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge, 32, Springer, 1996 | DOI

[6] János Kollár; Yoichi Miyaoka; Shigefumi Mori Rationally connected varieties, J. Algebr. Geom., Volume 1 (1992) no. 3, pp. 429-448 | MR | Zbl

[7] Jason M. Starr Arithmetic over function fields, Arithmetic geometry (Clay Mathematics Proceedings), Volume 8, American Mathematical Society, 2009, pp. 375-418 | MR | Zbl

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