Topological Formulae for the Zeroth Cohomology of Line Bundles on del Pezzo and Hirzebruch Surfaces

IF 0.5 Q3 MATHEMATICS

Complex Manifolds Pub Date : 2019-06-19 DOI:10.1515/coma-2020-0115

Callum R. Brodie, A. Constantin, R. Deen, A. Lukas

引用次数: 2

Abstract

Abstract We show that the zeroth cohomology of effective line bundles on del Pezzo and Hirzebruch surfaces can always be computed in terms of a topological index.

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del Pezzo和Hirzebruch曲面上线束的第零上同调的拓扑公式

摘要我们证明了del-Pezzo和Hirzebruch曲面上有效线束的第零上同调总是可以用拓扑指数来计算的。

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

Complex Manifolds MATHEMATICS-

CiteScore

1.30

自引率

20.00%

发文量

审稿时长

25 weeks

期刊介绍： Complex Manifolds is devoted to the publication of results on these and related topics: Hermitian geometry, Kähler and hyperkähler geometry Calabi-Yau metrics, PDE''s on complex manifolds Generalized complex geometry Deformations of complex structures Twistor theory Geometric flows on complex manifolds Almost complex geometry Quaternionic geometry Geometric theory of analytic functions Holomorphic dynamics Several complex variables Dolbeault cohomology CR geometry.