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Equivariant Chern character for coherent sheaves and Riemann-Roch-Grothendieck (2505.20594v1)

Published 27 May 2025 in math.AG, math.CV, and math.DG

Abstract: In this paper, we develope an equivariant theory of Chern characters for coherent sheaves on compact complex manifolds with finite group actions, taking values in Bott-Chern cohomology classes. Furthermore, we establish the corresponding Riemann-Roch-Grothendieck theorem in this context.

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