Planar Graphs and the Koszul Algebra Structure for Trivariate Monomial Ideals

DOI10.1007/978-1-4939-0626-0_8zbMath1315.13027arXiv1303.0083OpenAlexW206253556MaRDI QIDQ5261426

Jared L. Painter

Publication date: 3 July 2015

Published in: Connections Between Algebra, Combinatorics, and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.0083

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02) Graph theory (05C99)

Related Items (1)

Planar Graphs and the Koszul Algebra Structure for Trivariate Monomial Ideals

Cites Work

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• On the structure of free resolutions of length 3
• A structure theorem for a class of grade three perfect ideals
• Poincaré series of modules over local rings of small embedding codepth or small linking number
• Planar graphs as minimal resolutions of trivariate monomial ideals
• A cohomological study of local rings of embedding codepth 3
• Local rings of embedding codepth 3. Examples
• On the Behavior of Minimal Free Resolutions of Trivariate Generic Monomial Ideals
• Planar Graphs and the Koszul Algebra Structure for Trivariate Monomial Ideals

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