Classifying Hilbert functions of fat point subschemes in \(\mathbb{P}^2\)

DOI10.1007/BF03191208zbMath1186.14008arXiv0803.4113OpenAlexW1499432684MaRDI QIDQ1027130

Brian Harbourne, Juan C. Migliore, Anthony V. Geramita

Publication date: 30 June 2009

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.4113

zbMATH Keywords

Hilbert functionmatroidsfat points

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02) Divisors, linear systems, invertible sheaves (14C20) Low codimension problems in algebraic geometry (14M07)

Related Items (16)

The Alexander–Hirschowitz Theorem and Related Problems ⋮ On the configurations of nine points on a cubic curve ⋮ Initial sequences and Waldschmidt constants of planar point configurations ⋮ Lower Bound on the Dimension of Trivariate Splines on Cells ⋮ The alpha problem \& line count configurations ⋮ Fat points, partial intersections and Hamming distance ⋮ Erratum to: Classifying Hilbert functions of fat point subschemes in \(\mathbb P^{2}\) ⋮ Big rational surfaces ⋮ Linear subspaces, symbolic powers and Nagata type conjectures ⋮ Comparing powers and symbolic powers of ideals ⋮ Combinatorial bounds on Hilbert functions of fat points in projective space ⋮ On the finite generation of the effective monoid of rational surfaces ⋮ The effect of points fattening on postulation ⋮ Associated primes of spline complexes ⋮ Lower semi-continuity of the Waldschmidt constants ⋮ On a class of power ideals

Cites Work

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