光滑法诺变体切线束的丰度型结果

arXiv - MATH - Algebraic Geometry Pub Date : 2024-08-07 DOI:arxiv-2408.03799

Juanyong Wang

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摘要

在本文中，我们证明了以下丰度型结果：对于任意光滑法诺综 $X$，切线束 $T_X$ 是新的，当且仅当它在同调线束$\mathscr{O}_{\mathbb{P}T_X}(1)$ 的意义上是大的和半范例时才是如此，由此我们建立了坎帕纳-佩特内尔猜想的弱形式（Camapan-Peternell，1991）。

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An abundance-type result for the tangent bundles of smooth Fano varieties

In this paper we prove the following abundance-type result: for any smooth Fano variety $X$, the tangent bundle $T_X$ is nef if and only if it is big and semiample in the sense that the tautological line bundle $\mathscr{O}_{\mathbb{P}T_X}(1)$ is so, by which we establish a weak form of the Campana-Peternell conjecture (Camapan-Peternell, 1991).

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arXiv - MATH - Algebraic Geometry

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