Betti numbers for fat point ideals in the plane: A geometric approach

DOI10.1090/S0002-9947-08-04599-6zbMath1170.14006arXiv0706.2588OpenAlexW2169395196MaRDI QIDQ3605857

Alessandro Gimigliano, Monica Idà, Brian Harbourne

Publication date: 25 February 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.2588

zbMATH Keywords

fat pointsgraded Betti numberssplitting types

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Rational and ruled surfaces (14J26) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Divisors, linear systems, invertible sheaves (14C20)

Related Items (7)

Algebraic Geometry, Commutative Algebra and Combinatorics: Interactions and Open Problems ⋮ An observation on $(-1)$-curves on rational surfaces ⋮ The role of the cotangent bundle in resolving ideals of fat points in the plane ⋮ The singular points of a rational plane curve and its restricted tangent bundle ⋮ Betti numbers for fat point ideals in the plane: A geometric approach ⋮ On parameterizations of plane rational curves and their syzygies ⋮ Regina Lectures on Fat Points

Uses Software

• Macaulay2

Cites Work

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