论文标题

Higgs束的模量空间的O'Grady空间和符号分辨率

O'Grady spaces and symplectic resolution of moduli spaces of Higgs bundles

论文作者

Franco, Emilio

论文摘要

We describe here a degeneration of the symplectic desingularization of the moduli spaces of topologically trivial $GL(2,\mathbb{C})$ and $SL(2,\mathbb{C})$-Higgs bundles over a hyperelliptic curve, into O'Grady's ten and six dimensional exceptional examples of irreducible holomorphic symplectic manifolds.本说明中的大多数是Donagi-ein Lazarsfeld,de Cataldo-Maulik-Shen和Felissetti-Mauri对这些退化的工作的调查,尽管在某些情况下,我们提供了缺少先前文章的细节。

We describe here a degeneration of the symplectic desingularization of the moduli spaces of topologically trivial $GL(2,\mathbb{C})$ and $SL(2,\mathbb{C})$-Higgs bundles over a hyperelliptic curve, into O'Grady's ten and six dimensional exceptional examples of irreducible holomorphic symplectic manifolds. Most of this note is a survey of work on these degenerations by Donagi-Ein-Lazarsfeld, de Cataldo-Maulik-Shen and Felissetti-Mauri, although in certain cases we provide details that were missing the previous articles.

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