Burch index, summands of syzygies and linearity in resolutions

DOI10.1007/s41980-023-00755-xOpenAlexW4321240045MaRDI QIDQ2685719

David Eisenbud, Hailong Dao

Publication date: 23 February 2023

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.05427

zbMATH Keywords

free resolutionssummands of syzygiesBurch indexBurch ringslinearity of syzygies

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Syzygies, resolutions, complexes and commutative rings (13D02) Local theory in algebraic geometry (14B99)

Uses Software

• Macaulay2

Cites Work

• Unnamed Item
• Linearity of free resolutions of monomial ideals
• Burch ideals and Burch rings
• Totally reflexive modules over rings that are close to Gorenstein
• A proof of the existence of minimal R-algebra resolutions
• Persistence of homology over commutative Noetherian rings
• The Geometry of Syzygies

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