English

The integral Chow ring of weighted blow-ups

Algebraic Geometry 2025-05-21 v2

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.

Keywords

Cite

@article{arxiv.2307.01459,
  title  = {The integral Chow ring of weighted blow-ups},
  author = {Veronica Arena and Stephen Obinna and Dan Abramovich},
  journal= {arXiv preprint arXiv:2307.01459},
  year   = {2025}
}

Comments

by: Veronica Arena, Stephen Obinna; with appendix by: Dan Abramovich, Veronica Arena, Stephen Obinna