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arXiv 2408.047332024-08math.AG

不规则簇上伴随系无基点的归纳方法

An Inductive Approach to Basepoint-Freeness of Adjoint Series on Irregular Varietiess

Houari Benammar Ammar

备注：: To appear in EJM. (The bibliography is not in alphabetical order due to the use of the Springer template.)

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AI总结：

本文提出一种归纳方法证明不规则簇上线性系统的无基点性，并在温和条件下证明Fujita猜想对具nef反典范丛的n维不规则簇成立。

摘要：

本文展示了如何归纳地证明不规则簇上线性系统的无基点性。例如，在温和条件下，假设Fujita猜想对低维簇成立，我们证明其对具有nef反典范丛的维数为$n$的不规则簇成立。

英文摘要：

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

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