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Department of Mathematics,
University of California San Diego

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Math 208: Seminar in Algebraic Geometry

Dr. José González

UC Riverside

The Chow ring of a wonderful compactification

Abstract:

Wonderful compactifications provide a systematic way to resolve an arrangement of subvarieties by replacing it with a normal crossings boundary. They unify a number of familiar constructions in algebraic geometry, including Fulton–MacPherson configuration spaces, various graph and polydiagonal compactifications, the moduli spaces of (weighted) stable pointed rational curves, and compactifications of open varieties in the sense of Hu. Under natural surjectivity assumptions, I will describe a presentation of the Chow ring of a wonderful compactification associated to a building set on a smooth base variety. This is joint work with Patricio Gallardo and Javier Gonzalez-Anaya.

Host: James McKernan

December 5, 2025

4:00 PM

APM 7321

Research Areas

Algebraic Geometry

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