Flips and the Hilbert scheme over an exterior algebra

DOI10.1007/s00208-007-0122-2zbMath1128.14006OpenAlexW1963572887MaRDI QIDQ2458847

Irena Peeva, Michael Stillman

Publication date: 5 November 2007

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-007-0122-2

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Rational and birational maps (14E05) Formal methods and deformations in algebraic geometry (14D15)

Related Items

Hilbert functions over toric rings, Hilbert schemes and maximal Betti numbers over Veronese rings, On the smoothness of lexicographic points on Hilbert schemes

Uses Software

• Macaulay2

Cites Work

• Unnamed Item
• Unnamed Item
• Unimodular Hermitian and skew-Hermitian forms
• Gotzmann theorems for exterior algebras and combinatorics
• Combinatorics of the toric Hilbert scheme
• Toric Hilbert schemes.
• The graph of monomial ideals
• Sheaf cohomology and free resolutions over exterior algebras
• Connectedness of Hilbert schemes
• Resultants and Chow forms via exterior syzygies