Torelli theorem for the moduli stack of vector bundles with fixed determinant

Author:

David Alfaya, Indranil Biswas, Tomás L. Gómez, Swarnava Mukhopadhyay

Keyword:

Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG)

journal:

date:

2023-10-10 16:00:00

Abstract

Given any irreducible smooth complex projective curve X, of genus at least two, consider the moduli stack of vector bundles on X of fixed rank and determinant. It is proved that the isomorphism class of the stack uniquely determines the isomorphism class of the curve X and the rank of the vector bundles.

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