Seminar: Binomial Expansion and Rational Powers of Sums of Ideals

Thời gian: 14:00 đến 15:00 Ngày 12/06/2025

Địa điểm: Phòng C101, VIASM

Báo cáo viên: Prof. Tai Huy Ha (Tulane University)

Tóm tắt: Let I and J be proper ideals in finitely generated graded algebras A and B over a field k. We discuss the binomial expansion formula for rational powers of the sum (I+J) in R = A \otimes_k B. We show that such a binomial expansion formula holds for several classes of classical invariant ideals, generalizing known results for symbolic and rational powers of monomial ideals. We also define the notion of rational powers for ideal sheaves on normal complex varieties.