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arXiv · 1803.03990

Frobenius Stratification of Moduli Spaces of Vector Bundles in Positive characteristic. II

Lingguang Li
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Abstract

Let $X$ be a smooth projective curve of genus $g(X)\geq 1$ over an algebraically closed field $k$ of characteristic $p>0$, $\M^s_X(r,d)$ the moduli space of stable vector bundles of rank $r$ and degree $d$ on $X$. We study the Frobenius stratification of $\M^s_X(r,d)$ in terms of Harder-Narasimhan polygons of Frobenius pull backs of stable vector bundles and obtain the irreducibility and dimension of each non-empty Frobenius stratum in case $(p,g,r)=(3,2,3)$.

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Lingguang Li. 2018-03-11. Frobenius Stratification of Moduli Spaces of Vector Bundles in Positive characteristic. II. https://arxiv.org/abs/1803.03990

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