允许良好极小模型的光滑变种族的双分几何

IF 0.5 Q3 MATHEMATICS

European Journal of Mathematics Pub Date : 2023-09-25 DOI:10.1007/s40879-023-00681-6

Behrouz Taji

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引用次数: 13

摘要

摘要研究具有良好极小模型的射影流形族。在构造了具有正则奇点的极化变体的合适模函子后，证明了该类族的基空间支持具有正Kodaira维数的对数多微分子束，如果不是双等平凡的。因此，我们证明了在特殊的基格式下，这种类型的族只能是双等平凡的，从而证实了Kebekus和Kovács的一个猜想。

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Birational geometry of smooth families of varieties admitting good minimal models

Abstract We study families of projective manifolds with good minimal models. After constructing a suitable moduli functor for polarized varieties with canonical singularities, we show that, if not birationally isotrivial, the base spaces of such families support subsheaves of log-pluridifferentials with positive Kodaira dimension. Consequently we prove that, over special base schemes, families of this type can only be birationally isotrivial and, as a result, confirm a conjecture of Kebekus and Kovács.

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来源期刊

European Journal of Mathematics MATHEMATICS-

CiteScore

1.00

自引率

0.00%

发文量

期刊介绍： The European Journal of Mathematics (EJM) is an international journal that publishes research papers in all fields of mathematics. It also publishes research-survey papers intended to provide nonspecialists with insight into topics of current research in different areas of mathematics. The journal invites authors from all over the world. All contributions are required to meet high standards of quality and originality. EJM has an international editorial board. Coverage in EJM will include: - Algebra - Complex Analysis - Differential Equations - Discrete Mathematics - Functional Analysis - Geometry and Topology - Mathematical Logic and Foundations - Number Theory - Numerical Analysis and Optimization - Probability and Statistics - Real Analysis.