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19 April 2024

» arxiv » 2004.3223

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On vector bundles over moduli spaces trivial on Hecke curves
Indranil Biswas ; Tomas L. Gomez ;
Date:	7 Apr 2020
Abstract:	Let $M_X(r,xi)$ be the moduli space of stable vector bundles, on a smooth complex projective curve $X$, of rank $r$ and fixed determinant $xi$ such that $deg(xi)$ is coprime to $r$. If $E$ is a vector bundle $M_X(r,xi)$ whose restriction to every Hecke curve in $M_X(r,xi)$ is trivial, we prove that $E$ is trivial.
Source:	arXiv, 2004.3223
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