On invariant of the regularity index of fat points

DOI10.1142/s0219498823502250zbMath1530.14015arXiv2201.00476OpenAlexW4283331266MaRDI QIDQ6053085

Phan Van Thien

Publication date: 25 September 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.00476

zbMATH Keywords

fat pointsregularity indexzero-dimensional scheme

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Divisors, linear systems, invertible sheaves (14C20)

Cites Work

• On Segre's bound for fat points in \(\mathbb{P}^n\)
• The blowing up Horace method: Application to interpolation in degree four
• Segre bound for the regularity index of fat points in \(\mathbb{P}^3\)
• Segre's Bound and the Case ofn+ 2 Fat Points of ℙⁿ
• A Sharp Bound for the Regularity Index of Fat Points in General Position
• Regularity Index ofS + 2 Fat Points not on a Linear (S − 1)-Space
• On the regularity index of s fat points not on a linear (r−1)-space, s≤r+3
• Segre's regularity bound for fat point schemes
• On a sharp bound for the regularity index of any set of fat points
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