Initial simplicial complexes of prime ideals

DOI10.1016/j.jalgebra.2005.01.013zbMath1073.13013OpenAlexW2058755885MaRDI QIDQ1771342

John P. Dalbec

Publication date: 21 April 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.01.013

zbMATH Keywords

simplicial complexinitial idealset-theoretic complete intersectionStanley-Reisner idealinitial complex

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) 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)

Cites Work

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• Two remarks on independent sets
• Théoremes de Bertini et applications
• Computing dimension and independent sets for polynomial ideals
• On hyperplane sections of reduced irreducible varieties of low codimension
• Initial complexes of prime ideals

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