The Chow ring of a Fulton-MacPherson compactification
Dan Petersen
TL;DR
This paper provides a concise proof of the Chow ring presentation for Fulton-MacPherson compactifications, correcting an error in the original proof and extending results to weighted variants.
Contribution
It offers a simplified proof of the Chow ring structure and extends the understanding to weighted Fulton-MacPherson compactifications.
Findings
Corrected proof of the Chow ring presentation
Determined Chow rings of weighted compactifications
Clarified the structure of Fulton-MacPherson compactifications
Abstract
We give a short proof of a presentation of the Chow ring of the Fulton-MacPherson compactification of n points on an algebraic variety. The result can be found already in Fulton and MacPherson's original paper. However, there is an error in one of the lemmas used in their proof. In the process we also determine the Chow rings of weighted Fulton--MacPherson compactifications.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Commutative Algebra and Its Applications · Polynomial and algebraic computation