A Polar de Rham Theorem

B. Khesin; A. Rosly; R. P. Thomas

A Polar de Rham Theorem

代数几何 2007-05-23 v2 高能物理 - 理论代数拓扑

作者: B. Khesin , A. Rosly , R. P. Thomas

摘要

We prove an analogue of the de Rham theorem for polar homology; that the polar homology $HP_q(X)$ of a smooth projective variety $X$ is isomorphic to its $H^{n,n-q}$ Dolbeault cohomology group. This analogue can be regarded as a geometric complexification where arbitrary (sub)manifolds are replaced by complex (sub)manifolds and de Rham's operator $d$ is replaced by Dolbeault's $\bar\partial$ .

关键词

cohomology theory cohomology lie algebra cohomology

引用

@article{arxiv.math/0305081,
  title  = {A Polar de Rham Theorem},
  author = {B. Khesin and A. Rosly and R. P. Thomas},
  journal= {arXiv preprint arXiv:math/0305081},
  year   = {2007}
}

备注

Referee's corrections. 17 pages, to appear in Topology

A Polar de Rham Theorem

摘要

关键词

引用

备注

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