不规则变体上邻接数列全局生成的归纳法

arXiv - MATH - Algebraic Geometry Pub Date : 2024-08-08 DOI:arxiv-2408.04733

Houari Benammar Ammar

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引用次数: 0

摘要

在本文中，我们展示了如何归纳证明不规则变体上邻接线性系统的全局生成。例如，我们证明了富吉塔猜想对于维数为 $n$ 且具有新非线性束的不规则变元成立，假定它对于低维变元成立并在温和条件下成立。

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An inductive approach to global generation of adjoint series on irregular varieties

In this paper, we show how to prove the global generation of adjoint linear systems on irregular varieties inductively. For instance, we prove that Fujita's conjecture holds for irregular varieties of dimension $n$ with nef anticanonical bundle, assuming it holds for lower-dimensional varieties and under mild conditions.

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arXiv - MATH - Algebraic Geometry

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