Regularity Index ofS + 2 Fat Points not on a Linear (S − 1)-Space

DOI10.1080/00927872.2011.593385zbMath1258.14010OpenAlexW2057306279MaRDI QIDQ4902942

Phan Van Thien

Publication date: 18 January 2013

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2011.593385

zbMATH Keywords

regularity indexfat pointzero-scheme

Mathematics Subject Classification ID

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

Related Items (2)

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

Cites Work

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• Linear systems of plane curves through fixed fat points of \(\mathbb{P}^ 2\)
• Regularity index of fat points in the projective plane
• An algebraic approach to the regularity index of fat points in \(P^ n\)
• Segre bound for the regularity index of fat points in \(\mathbb{P}^3\)
• Upper bounds for the regularity index of fat points
• Fat points on a conic
• SHARP UPPER BOUND FOR THE REGULARITY OF ZERO-SCHEMES OF DOUBLE POINTS IN
• On a sharp bound for the regularity index of any set of fat points

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