The integral Chow ring of weighted blow-ups

2023/07/04 by Arena, Veronica, Obinna, Stephen, Abramovich, Dan · 3 citations
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2307.01459

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.

Cited by

• K-theory of Weighted Blowups
• Streamlining resolution of singularities with weighted blow-ups
• The Integral Chow Rings of the Moduli Stacks of Hyperelliptic Prym Pairs II

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• Moduli of genus one curves with two marked points as a weighted blow-up
• K-theory of Weighted Blowups
• The Chow ring of a sequence of point blow-ups