Abstract
We determine the Brauer group and Picard group of the moduli space of stable parabolic vector bundles of rank r with determinant L on a real curve Y of arithmetic genus
with at most nodes as singularities.
Acknowledgments
We are very grateful to the referee for pointing out a crucial error in an earlier version, and also for providing numerous suggestions to improve the exposition. This work was done during the tenure of the first author as INSA Senior Scientist in Indian Statistical Institute, Bangalore. A part of this work was done during a visit of the first author to TIFR, Mumbai to attend Discussion Meeting on vector bundles in March–April 2022, she would like to thank T.I.F.R. for hospitality. The second author is partially supported by a J. C. Bose Fellowship.