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arXiv · 1211.1074

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

Usha N. Bhosle·Indranil Biswas
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Abstract

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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Usha N. Bhosle, Indranil Biswas. 2012-11-05. Brauer group and birational type of moduli spaces of torsionfree sheaves on a nodal curve. https://arxiv.org/abs/1211.1074

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