Ordinary and symbolic Rees algebras for ideals of Fermat point configurations

DOI10.1016/j.jalgebra.2016.08.011zbMath1439.13017arXiv1509.04977OpenAlexW2963300256MaRDI QIDQ324212

Alexandra Seceleanu, Uwe Nagel

Publication date: 10 October 2016

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

Full work available at URL: https://arxiv.org/abs/1509.04977

zbMATH Keywords

Rees algebraCastelnuovo-Mumford regularitysymbolic powersminimal free resolutionsreduction idealsymbolic Rees algebra

Mathematics Subject Classification ID

Syzygies, resolutions, complexes and commutative rings (13D02) Projective techniques in algebraic geometry (14N05) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items

Unexpected hypersurfaces with multiple fat points, Symbolic Rees Algebras, Jacobian ideals, arrangements and the Lefschetz properties, Demailly's conjecture and the containment problem, On the containment problem, Initial degree of symbolic powers of ideals of Fermat configurations of points, Symbolic Rees algebras and set-theoretic complete intersections, Symbolic powers of codimension two Cohen-Macaulay ideals, Singular loci of reflection arrangements and the containment problem, Fermat-type configurations of lines in \(\mathbb{P}^3\) and the containment problem, Finitely generated symbolic Rees rings of ideals defining certain finite sets of points in \(\mathbb{P}^2\), The containment problem and a rational simplicial arrangement, ON THE ASYMPTOTIC BEHAVIOR OF THE LINEARITY DEFECT, Chudnovsky’s conjecture and the stable Harbourne–Huneke containment, A homological criterion for the containment between symbolic and ordinary powers of some ideals of points in \(\mathbb{P}^2\), The initial degree of symbolic powers of Fermat-like ideals of planes and lines arrangements

Uses Software

• Macaulay2

Cites Work

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• The Geometry of Syzygies
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