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Commutative Algebra Seminar in Beijing
Groebner degenerations, N-fiber-full up to h modules and Applications
Groebner degenerations, N-fiber-full up to h modules and Applications
Organizers
Ming Fang
, Manolis Tsakiris
,
Bei Hui Yuan
Speaker
Hongmiao Yu
Time
Friday, October 11, 2024 9:30 AM - 11:30 AM
Venue
AMSS-N208
Abstract
In this talk, we introduce the notion of "N-fiber-full up to h modules", in order to investigate some extensions of the results obtained by Conca and Varbaro on square-free Groebner degenerations. More concretely, given a polynomial ring and a homogeneous ideal such that its initial ideal is square-free, we aim to address the question that under what assumptions does the equality in the theorem of Conca and Varbaro still holds. Additionally, we will discuss when Groebner degenerations preserve the component-wise linearity.