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arxiv: 1211.1074 · v1 · pith:J5KKBSCVnew · submitted 2012-11-05 · 🧮 math.AG

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

classification 🧮 math.AG
keywords modulibrauerbundlescurvedegreenodalrankspace
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Let U^{'s}_{L}(n,d) be the moduli space of stable vector bundles of rank $n$ and fixed determinant L of degree d on a nodal curve Y. The moduli space of semistable vector bundles of rank n and degree $d$ will be denoted by U'_Y(n,d). We calculate the Brauer groups of U^{'s}_{L}(n,d)$. We study the question of rationality of $U^{'s}_{L}(n,d)$ and $U'_Y(n,d)$.

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