Positivity of higher exterior powers of the tangent bundle

Autor:	Gachet, Cécile
Rok vydání:	2022
Předmět:	Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	We prove that a smooth projective variety $X$ of dimension $n$ with strictly nef third, fourth or $(n-1)$-th exterior power of the tangent bundle is a Fano variety. Moreover, in the first two cases, we provide a classification for $X$ under the assumption that $\rho(X)\ne 1$. Comment: 18 pages; corrected the statement of Theorem 1.2
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2207.10854 Zobrazit plný text záznamu View this record from Arxiv