Complexes, residues and obstructions for log-symplectic manifolds

IF 0.6 3区数学 Q3 MATHEMATICS

Annals of Global Analysis and Geometry Pub Date : 2022-11-07 DOI:10.1007/s10455-022-09881-x

Ziv Ran

引用次数: 0

Abstract

We consider compact Kählerian manifolds X of even dimension 4 or more, endowed with a log-symplectic structure \(\Phi \), a generically nondegenerate closed 2-form with simple poles on a divisor D with local normal crossings. A simple linear inequality involving the iterated Poincaré residues of \(\Phi \) at components of the double locus of D ensures that the pair \((X, \Phi )\) has unobstructed deformations and that D deforms locally trivially.

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对数辛流形的复形、残数和阻挡

我们考虑偶数维4或更大的紧致Kählerian流形X，它被赋予一个对数辛结构\（\Phi\），一个在除数D上具有单极点的一般非退化闭2-形式，具有局部正交。一个简单的线性不等式涉及\（\Phi\）在D的双轨迹分量上的迭代庞加莱残基，它确保了对\（（X，\Phi）\）具有无阻碍的变形，并且D局部平凡地变形。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annals of Global Analysis and Geometry 数学-数学

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal examines global problems of geometry and analysis as well as the interactions between these fields and their application to problems of theoretical physics. It contributes to an enlargement of the international exchange of research results in the field. The areas covered in Annals of Global Analysis and Geometry include: global analysis, differential geometry, complex manifolds and related results from complex analysis and algebraic geometry, Lie groups, Lie transformation groups and harmonic analysis, variational calculus, applications of differential geometry and global analysis to problems of theoretical physics.