paper

On the moduli spaces of parabolic symplectic orthogonal bundles on curves

arXiv:2101.02383

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 bundles.

20 pages

On the moduli spaces of parabolic symplectic orthogonal bundles on curves · wovepaper