Erik Paemurru : Local inequalities for cA_k singularities

Posted by Izzet Coskun , part of the Algebraic Geometry Seminar.

At

Nov. 10, 2025, 3 p.m.

In

636 SEO

Abstract

We generalize an intersection-theoretic local inequality of Fulton–Lazarsfeld to weighted blowups. Using this together with the classification of 3-dimensional divisorial contractions, we prove nonrationality of many families of terminal Fano 3-folds. This is a joint work with Igor Krylov and Takuzo Okada.