Connectedness of Hilbert schemes

DOI10.1090/S1056-3911-04-00386-8zbMath1078.14007MaRDI QIDQ4675868

Irena Peeva, Michael Stillman

Publication date: 6 May 2005

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

zbMATH Keywords

lexicographic orderHilbert polynomialexterior algebrageneric initial idealGröbner deformation

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Parametrization (Chow and Hilbert schemes) (14C05)

Related Items (13)

Hilbert schemes and Betti numbers over Clements–Lindström rings ⋮ Hilbert functions over toric rings ⋮ The Gröbner fan of the Hilbert scheme ⋮ Hilbert schemes with two Borel-fixed points in arbitrary characteristic ⋮ Hilbert schemes and maximal Betti numbers over Veronese rings ⋮ The ubiquity of smooth Hilbert schemes ⋮ On the smoothness of lexicographic points on Hilbert schemes ⋮ Flips and the Hilbert scheme over an exterior algebra ⋮ Hilbert scheme strata defined by bounding cohomology ⋮ On an extension of Galligo's theorem concerning the Borel-fixed points on the Hilbert scheme ⋮ Smooth and irreducible multigraded Hilbert schemes ⋮ The T-Graph of a Multigraded Hilbert Scheme ⋮ A simple remark on a flat projective morphism with a Calabi-Yau fiber

Cites Work

• Deformation classes of graded modules and maximal Betti numbers
• Minimal resolutions of some monomial ideals
• Gotzmann theorems for exterior algebras and combinatorics
• Connectedness of Hilbert scheme
• Antichains of monomial ideals are finite
• Sheaf cohomology and free resolutions over exterior algebras
• Resolutions of monomial ideals and cohomology over exterior algebras
• Resultants and Chow forms via exterior syzygies
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