Binomial expansion for saturated and symbolic powers of sums of ideals
Thời gian: 15:00 đến 17:00 Ngày 28/12/2021
Địa điểm: Online
Báo cáo viên: Nguyễn Đăng Hợp - Viện Toán học, Viện Hàn Lâm KHCN VN
Tóm tắt:There are two different notions for symbolic powers of ideals existing in the literature, one defined in terms of associated primes, the other in terms of minimal primes. Elaborating on an idea known to Eisenbud, Herzog, Hibi, and Trung, we interpret both notions of symbolic powers as suitable saturations of the ordinary powers. We prove a binomial expansion formula for saturated powers of sums of ideals. This gives a uniform treatment to an array of existing and new results on both notions of symbolic powers of such sums: binomial expansion formulas, computations of depth and regularity, and criteria for the equality of ordinary and symbolic powers.
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Topic: Seminar: Binomial expansion for saturated and symbolic powers of sums of ideals
Time: Dec 28, 2021 02:30 PM Vietnam
Join Zoom Meeting
https://zoom.us/j/98066525893?pwd=eEVDYzNDaVBaNnZEaGpLQ3g1R2Vodz09
Meeting ID: 980 6652 5893
Passcode: 175767
Time: Dec 28, 2021 02:30 PM Vietnam
Join Zoom Meeting
https://zoom.us/j/98066525893?pwd=eEVDYzNDaVBaNnZEaGpLQ3g1R2Vodz09
Meeting ID: 980 6652 5893
Passcode: 175767