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arXiv · 2101.02383

On the moduli spaces of parabolic symplectic orthogonal bundles on curves

Jianping Wang·Xueqing Wen
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Abstract

We prove that the moduli spaces of parabolic symplectic/orthogonal bundles on a smooth curve are globally F regular type. As a consequence, all higher cohomology of theta line bundle vanish. During the proof, we develop a method to estimate codimension, and consider the infinite grassmannians for parabolic $G$ bundles.

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Jianping Wang, Xueqing Wen. 2021-01-07. On the moduli spaces of parabolic symplectic orthogonal bundles on curves. https://arxiv.org/abs/2101.02383

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