某些相干系统模空间的Hodge多项式
代数几何
2013-02-19 v2
摘要
当 时，我们研究来自BGN扩张的相干系统，其中商丛是严格半稳定的。在这种情况下，我们描述了相干系统模空间的一个分层。我们还将这些层描述为行列式簇的补集，并证明它们是不可约且光滑的。这些描述使我们能够在某些情况下计算该模空间的Hodge多项式。特别地，我们给出了 且 为偶数情况下的显式计算，并由此得到了通常的Poincaré多项式。
引用
@article{arxiv.0809.0134,
title = {Hodge polynomials of some moduli spaces of Coherent Systems},
author = {Cristian Gonzalez-Martinez},
journal= {arXiv preprint arXiv:0809.0134},
year = {2013}
}
备注
Formerly entitled: "A stratification of some moduli spaces of coherent systems on algebraic curves and their Hodge--Poincar\'e polynomials". The paper has been substantially shorten. Theorem 8.20 has been revised and corrected. Final version accepted for publication in International Journal of Mathematics. arXiv admin note: text overlap with arXiv:math/0407523 by other authors