泊松膨胀的全纯Koszul-Brylinski同调

IF 0.9 3区数学 Q2 MATHEMATICS

Acta Mathematica Sinica-English Series Pub Date : 2025-05-15 DOI:10.1007/s10114-025-2365-9

Xiaojun Chen, Youming Chen, Song Yang, Xiangdong Yang

引用次数: 0

摘要

给出了紧致全纯泊松流形的全纯Koszul-Brylinski同调的一个爆破公式。作为应用，我们研究了泊松爆炸下dolbeaul - Koszul-Brylinski谱序列e1 -简并的不变性，并计算了del Pezzo曲面和两个具有全纯泊松结构的复零流形的全纯Koszul-Brylinski同调。

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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Holomorphic Koszul–Brylinski Homologies of Poisson Blow-ups

We derive a blow-up formula for holomorphic Koszul–Brylinski homologies of compact holomorphic Poisson manifolds. As applications, we investigate the invariance of the E₁-degeneracy of the Dolbeault–Koszul–Brylinski spectral sequence under Poisson blow-ups, and compute the holomorphic Koszul–Brylinski homology for del Pezzo surfaces and two complex nilmanifolds with holomorphic Poisson structures.

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来源期刊

Acta Mathematica Sinica-English Series 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

138

审稿时长

14.5 months

期刊介绍： Acta Mathematica Sinica, established by the Chinese Mathematical Society in 1936, is the first and the best mathematical journal in China. In 1985, Acta Mathematica Sinica is divided into English Series and Chinese Series. The English Series is a monthly journal, publishing significant research papers from all branches of pure and applied mathematics. It provides authoritative reviews of current developments in mathematical research. Contributions are invited from researchers from all over the world.