On the regularity index of s equimultiple fat points not on a linear (r-1)-space, s ≤ r+3

2016/04/21 by Phan Van Thiên, Van Thien, Phan
Mathematics · #Analytic Number Theory Research #Analytic and geometric function theory #Commutative Algebra (math.AC) #FOS: Mathematics #Point processes and geometric inequalities #Primary 14C20 #Secondary 13D40

paper · pdf · doi:10.48550/arxiv.1604.06347

openalex publication_date 2016/04/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove the Trung's conjecture about Segre's upper bound for s equimultiple fat points not on a linear (r-1)-space, s≤ r+3, by algebraic method used in [3]. This method also may used to research other cases of fat points.

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