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Open problems on structure of positively curved projective varieties
Shin-ichi Matsumura1
1 Mathematical Institute, Tohoku University, 6-3, Aramaki Aza-Aoba, Aoba-ku, Sendai 980-8578, Japan.
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 31 (2022) no. 3, pp. 1011-1029.

Nous fournissons des suppléments et des problèmes ouverts liés aux théorèmes de structure pour les fibrations maximales rationnellement connectées de certaines variétés projectives à courbure positive, y compris les variétés projectives lisses avec une courbure de section holomorphe semi-positive, un faisceau tangent pseudo-efficace et un diviseur anticanonique nef.

We provide supplements and open problems related to structure theorems for maximal rationally connected fibrations of certain positively curved projective varieties, including smooth projective varieties with semi-positive holomorphic sectional curvature, pseudo-effective tangent bundle, and nef anti-canonical divisor.

Publié le :
DOI : 10.5802/afst.1712
Classification : 32J25, 53C25, 14E30
Mots clés : Rational curves, Maximal rationally connected fibrations, Albanese maps, Structure theorems, Holomorphic sectional curvatures, Pseudo-effective tangent bundles, Nef anti-canonical divisors, klt pairs.
Shin-ichi Matsumura 1

1 Mathematical Institute, Tohoku University, 6-3, Aramaki Aza-Aoba, Aoba-ku, Sendai 980-8578, Japan.
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Shin-ichi Matsumura. Open problems on structure  of positively curved projective varieties. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 31 (2022) no. 3, pp. 1011-1029. doi : 10.5802/afst.1712. https://afst.centre-mersenne.org/articles/10.5802/afst.1712/

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