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arxiv: 2308.06778 · v1 · pith:HRKHD7XZ · submitted 2023-08-13 · math.AG

Stratifying the moduli space of stable vector bundles by decomposition type

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classification math.AG
keywords bundlesmodulispacestablevectordecompositiondimensionobtain
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The moduli space of slope-stable vector bundles on a normal projective variety over an algebraically closed field of characteristic $p\geq 0$ is stratified with respect to the decomposition type. On a smooth projective curve of genus at least 2 we obtain mostly sharp dimension estimates for these strata. As an application, we obtain a dimension estimate for the closure of the prime to p trivializable stable bundles in the moduli space of stable vector bundles.

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