The toric Hilbert scheme of a rank two lattice is smooth and irreducible.

DOI10.1016/S0097-3165(03)00117-1zbMath1056.14006arXivmath/0208031OpenAlexW2008318754MaRDI QIDQ1417947

Diane MacLagan, Rekha R. Thomas

Publication date: 6 January 2004

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0208031

zbMATH Keywords

connectednesstoric varietytriangulationscodimension two

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Parametrization (Chow and Hilbert schemes) (14C05)

Related Items (2)

Small Chvátal rank ⋮ Smooth and irreducible multigraded Hilbert schemes

Cites Work

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• The Gröbner fan of an ideal
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• The polytope of all triangulations of a point configuration
• Antichains of monomial ideals are finite
• The McKay correspondence as an equivalence of derived categories
• A-graded algebras and continued fractions
• Multigraded Hilbert schemes
• Hilbert schemes and cyclic quotient surface singularities

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