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arXiv · 2307.01459

The integral Chow ring of weighted blow-ups

Veronica Arena·Stephen Obinna·Dan Abramovich
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Abstract

We give a formula for the integral Chow rings of weighted blow-ups. Along the way, we also compute the integral Chow rings of weighted projective stack bundles, a formula for the Gysin homomorphism of a weighted blow-up, and a generalization of the splitting principle. In addition, in the appendix we compute the Chern class of a weighted blow-up.

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Veronica Arena, Stephen Obinna, Dan Abramovich. 2023-07-04. The integral Chow ring of weighted blow-ups. https://doi.org/10.2140/ant.2025.19.1231

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