泊松结构的实投影爆破

IF 0.7 4区数学 Q3 MATHEMATICS

Differential Geometry and its Applications Pub Date : 2025-09-19 DOI:10.1016/j.difgeo.2025.102293

Andreas Schüßler

引用次数: 0

摘要

我们在光滑微分几何的背景下证明了1997年的Polishchuk定理，在该定理中，他建立了在给定泊松格式M和泊松子格式N的条件下，泊松结构沿N上升到M的爆炸。

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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On the real projective blowup of Poisson structures

We give a proof in the context of smooth differential geometry of Polishchuk's theorem from 1997, in which he established under which conditions, given a Poisson scheme M and a Poisson subscheme N, the Poisson structure lifts to the blowup of M along N.

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来源期刊

Differential Geometry and its Applications 数学-数学

CiteScore

1.00

自引率

20.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Differential Geometry and its Applications publishes original research papers and survey papers in differential geometry and in all interdisciplinary areas in mathematics which use differential geometric methods and investigate geometrical structures. The following main areas are covered: differential equations on manifolds, global analysis, Lie groups, local and global differential geometry, the calculus of variations on manifolds, topology of manifolds, and mathematical physics.