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Local structure of Brill-Noether strata in the moduli space of flat stable bundles. (English) Zbl 1167.14020

Summary: We study the Brill-Noether stratification of the coarse moduli space of locally free stable and flat sheaves of a compact Kähler manifold, proving that these strata have quadratic algebraic singularities.

MSC:

14H60 Vector bundles on curves and their moduli
14D20 Algebraic moduli problems, moduli of vector bundles
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References:

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