The T-Graph of a Multigraded Hilbert Scheme

DOI10.1080/10586458.2012.659569zbMath1259.14003arXiv1110.1861OpenAlexW2135850367MaRDI QIDQ5200348

Diane MacLagan, Milena Hering

Publication date: 5 November 2012

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.1861

zbMATH Keywords

Gröbner basesHilbert schemestorus actions

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Parametrization (Chow and Hilbert schemes) (14C05)

Related Items (4)

The Gröbner fan of the Hilbert scheme ⋮ Small elementary components of Hilbert schemes of points ⋮ TEdges ⋮ The matroid stratification of the Hilbert scheme of points on \(\mathbb{P}^1\)

Uses Software

• Macaulay2

Cites Work

• Irreducible components of the equivariant punctual Hilbert schemes
• The equivariant Chow rings of quot schemes
• Hilbert schemes of 8 points
• Equivariant cohomology, Koszul duality, and the localization theorem
• Incidence relations among the Schubert cells of equivariant punctual Hilbert schemes
• \(t,q\)-Catalan numbers and the Hilbert scheme.
• Toric Hilbert schemes.
• Smooth and irreducible multigraded Hilbert schemes
• Non-connected toric Hilbert schemes
• A fixed point formula for action of tori on algebraic varieties
• The graph of monomial ideals
• The Chow ring of punctual Hilbert schemes on toric surfaces
• Décomposition cellulaire de variétés paramétrant des idéaux homogènes de C x,y. Incidence des cellules - II -.
• Multigraded Hilbert schemes
• Connectedness of Hilbert schemes
• Further Pathologies in Algebraic Geometry

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