反不变希格斯束的模量

arXiv - MATH - Algebraic Geometry Pub Date : 2024-09-09 DOI:arxiv-2409.05793

Karim Réga

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引用次数: 0

摘要

我们研究了泽拉西（Zelaci）提出的反不变希格斯束的模空间。利用阿尔珀（Alper）、哈尔彭-莱斯特纳（Halpern-Leistner）和海因洛特（Heinloth）的最新存在性结果，我们证明了半可变反不变希格斯束的分离良好模空间的存在性。同时，我们还证明了半可变希格斯束的分离良好模空间的适当性。我们还证明了希钦系统在这种情况下的适当性。

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Moduli of Anti-Invariant Higgs Bundles

We study the moduli of anti-invariant Higgs bundles as introduced by Zelaci. Using recent existence results of Alper, Halpern-Leistner and Heinloth we establish the existence of a separated good moduli space for semistable anti-invariant Higgs bundles. Along the way this produces a non-GIT proof of the existence of a separated good moduli space for semistable Higgs bundles. We also prove the properness of the Hitchin system in this setting.

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arXiv - MATH - Algebraic Geometry

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