Geodesic
Globally F-regular type of the moduli spaces of parabolic symplectic/orthogonal bundles on curves
Forum of Mathematics, Sigma, Tome 12 (2024)

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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 cohomologies of the theta line bundle vanish. During the proof, we develop a method to estimate codimension. 
@article{10_1017_fms_2024_57,
     author = {Jianping Wang and Xueqing Wen},
     title = {Globally {F-regular} type of the moduli spaces of parabolic symplectic/orthogonal bundles on curves},
     journal = {Forum of Mathematics, Sigma},
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     year = {2024},
     doi = {10.1017/fms.2024.57},
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Jianping Wang; Xueqing Wen. Globally F-regular type of the moduli spaces of parabolic symplectic/orthogonal bundles on curves. Forum of Mathematics, Sigma, Tome 12 (2024). doi: 10.1017/fms.2024.57

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