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<p>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 <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\( n \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>n</mi> </math></EquationSource> </InlineEquation> with a nef anticanonical bundle assuming it holds for lower-dimensional varieties and under mild conditions.</p>

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An inductive approach to basepoint-freeness of adjoint series on irregular varieties

  • 期刊论文

  • 发表日期：

    2025年10月6日

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  • Houari Benammar Ammar

摘要

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 \( n \) n with a nef anticanonical bundle assuming it holds for lower-dimensional varieties and under mild conditions.