The Scarf complex and Betti numbers of powers of extremal ideals

DOI10.1016/j.jpaa.2023.107577arXiv2309.02644MaRDI QIDQ6199044

Liana M. Şega, Sandra Spiroff, Sara Faridi, Sabine El Khoury

Publication date: 23 February 2024

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2309.02644

zbMATH Keywords

simplicial complexfree resolutionsBetti numbersScarf complexpowers of monomial idealsextremal ideals

Mathematics Subject Classification ID

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

Related Items (1)

Simplicial resolutions of powers of square-free monomial ideals

Cites Work

• Algebraic combinatorics. Lectures on arrangements and cellular resolutions at a summer school in Nordfjordeid, Norway, June 2003
• Simplicial resolutions for the second power of square-free monomial ideals
• Morse resolutions of powers of square-free monomial ideals of projective dimension one
• Simplicial complexes of graphs
• Discrete Morse theory for cellular resolutions
• Three simplicial resolutions
• Frames and degenerations of monomial resolutions

This page was built for publication: The Scarf complex and Betti numbers of powers of extremal ideals