论文标题

Picard of proabolic Higgs捆绑包

Picard group of moduli of parabolic Higgs bundles

论文作者

Roy, Sumit

论文摘要

令$ x $为属的紧凑riemann表面$ g \ geq 3 $,让$ \ mathcal {m} _ {\ mathrm {par}} $是超过$ x $的可半拼写抛物线套件的模量空间。令$ \ mathcal {m} _ {\ mathrm {parh}} $表示半抛物线寄生虫higgs捆绑$ x $的模量空间。在本文中,我们研究了$ \ mathcal {m} _ {\ mathrm {par}} $的PICARD组和$ \ Mathcal {M} _ {\ Mathrm {parh}} $。

Let $X$ be a compact Riemann surface of genus $g\geq 3$ and let $\mathcal{M}_{\mathrm{par}}$ be the moduli space of semistable parabolic bundles over $X$. Let $\mathcal{M}_{\mathrm{parH}}$ denote the moduli space of semistable parabolic Higgs bundles over $X$. In this article, we study the Picard group of $\mathcal{M}_{\mathrm{par}}$ and $\mathcal{M}_{\mathrm{parH}}$.

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