Brauer groups and Picard groups of the moduli of parabolic vector bundles on a nodal curve

Article Type

Research Article

Publication Title

Beitrage zur Algebra und Geometrie

Abstract

We determine the Brauer groups and Picard groups of the moduli space UL,par′s of stable parabolic vector bundles of rank r with determinant L on a complex nodal curve Y of arithmetic genus g≥ 2 . We also compute the Picard group of the moduli stack for parabolic SL(r)-bundles on Y and use it to give another description of the Picard group of UL,par′s . For g≥ 2 , we determine the Brauer group of the moduli space UL′s of stable vector bundles on Y of rank r with determinant L, deduce that UL′s is simply connected and show the non-existence of the universal bundle on UL′s×Y in the non-coprime case.

DOI

https://10.1007/s13366-023-00718-7

Publication Date

1-1-2023

This document is currently not available here.

Share

COinS