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arXiv · 2207.11853

Shatz strata in algebraic versal deformation spaces

Yinbang Lin
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Abstract

Over a smooth complex projective curve, we study an algebraic versal deformation space with fixed determinant of a coherent sheaf. The algebraic versal deformation space decomposes into a disjoint union of Shatz strata, namely locally closed subschemes which parametrize coherent sheaves with common Harder-Narasimhan types. We study the geometry and local topology of large unstable strata and their behavior along boundaries.

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Yinbang Lin. 2022-07-25. Shatz strata in algebraic versal deformation spaces. https://arxiv.org/abs/2207.11853

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