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arXiv · 2103.10767

Riemann-Roch coefficients for Kleinian orbisurfaces

Bronson Lim·Franco Rota
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Abstract

Suppose $\mathcal{S}$ is a smooth, proper, and tame Deligne-Mumford stack. To\"en's Grothendieck-Riemann-Roch theorem requires correction terms, involving components of the inertia stack, to the standard formula for schemes. We give a brief overview of To\"en's Grothendieck-Riemann-Roch theorem, and explicitly compute the correction terms in the case of an orbifold surface with stabilizers of types ADE.

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Bronson Lim, Franco Rota. 2021-03-19. Riemann-Roch coefficients for Kleinian orbisurfaces. https://doi.org/10.1007/s40574-023-00353-z

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