Brauer group and birational type of moduli spaces of torsionfree sheaves\n on a nodal curve

2012/11/05 by Usha N. Bhosle, Indranil Biswas, Bhosle, Usha N. +1 · 1 citation
Mathematics · #14D20 #14F22 #14H60 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1211.1074

openalex publication_date 2012/11/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let U^'s_L(n,d) be the moduli space of stable vector bundles of rank n\nand fixed determinant L of degree d on a nodal curve Y. The moduli space of\nsemistable vector bundles of rank n and degree d will be denoted by\nU'_Y(n,d). We calculate the Brauer groups of U^'s_L(n,d). We study the\nquestion of rationality of U^'s_L(n,d) and U'_Y(n,d).\n

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