THE JUMPING PHENOMENON OF THE DIMENSIONS OF COHOMOLOGY GROUPS OF TANGENT SHEAF 被引量：2

THE JUMPING PHENOMENON OF THE DIMENSIONS OF COHOMOLOGY GROUPS OF TANGENT SHEAF

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摘要 Let X be a compact complex manifold. Consider a small deformation π ： X → B of X, the dimensions of the cohomology groups of tangent sheaf Hq（xt, Txt ） may vary under this deformation. This article studies such phenomena by studying the obstructions to deform a class in Hq（X, 5TX） with parameter t and gets a formula for the obstructions. Let X be a compact complex manifold. Consider a small deformation π ： X → B of X, the dimensions of the cohomology groups of tangent sheaf Hq（xt, Txt ） may vary under this deformation. This article studies such phenomena by studying the obstructions to deform a class in Hq（X, 5TX） with parameter t and gets a formula for the obstructions.

作者叶轩明

机构地区 Department of Mathematics

出处《Acta Mathematica Scientia》 SCIE CSCD 2010年第5期1746-1758,共13页 数学物理学报（B辑英文版）

基金 partially supported by China-France-Russian mathematics collaboration grant,No.34000-3275100,from Sun Yat-Sen University

关键词 dimensions of cohomology groups of tangent sheaf deformation OBSTRUCTION Kodaira-Spencer class dimensions of cohomology groups of tangent sheaf deformation obstruction Kodaira-Spencer class

分类号 O152.1 [理学—基础数学]

作者简介 E-mail： xuanming.ye@ens.fr

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参考文献8

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同被引文献10

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引证文献2

1林洁珠,叶轩明.一阶复结构形变中产生Hodge数跳跃的障碍公式的解析证明[J].中山大学学报（自然科学版）,2012,51(6):17-20.
2林洁珠,叶轩明.1阶复结构形变中产生Bott-Chern上同调群和Aeppli上同调群维数跳跃的障碍公式的解析证明[J].华东师范大学学报（自然科学版）,2015(1):84-94.

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THE JUMPING PHENOMENON OF THE DIMENSIONS OF COHOMOLOGY GROUPS OF TANGENT SHEAF 被引量：2

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