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Stratifying the moduli space of stable vector bundles by decomposition type

Author:
Dario Weissmann
Keyword:
Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG)
journal:
--
date:
2023-08-12 16:00:00
Abstract
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.
PDF: Stratifying the moduli space of stable vector bundles by decomposition type.pdf
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