The Double Complex of a Blow-up

被引：16

作者：

Stelzig, Jonas ^{[1
]}

机构：

[1] LMU, Math Inst, Theresienstr 39, D-80333 Munich, Germany

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2021年 / 2021卷 / 14期

关键词：

D O I：

10.1093/imrn/rnz139

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We compute the double complex of smooth complex-valued differential forms on projective bundles over and blow-ups of compact complex manifolds up to a suitable notion of quasi-isomorphism. This simultaneously yields formulas for "all" cohomologies naturally associated with this complex (in particular, de Rham, Dolbeault, Bott-Chern, and Aeppli).

引用

页码：10731 / 10744

页数：14

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