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arXiv · 2505.20594

Equivariant Chern character for coherent sheaves and Riemann-Roch-Grothendieck

Guangzhe Xu
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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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Guangzhe Xu. 2025-05-27. Equivariant Chern character for coherent sheaves and Riemann-Roch-Grothendieck. https://arxiv.org/abs/2505.20594

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