Minimal free resolutions of differential modules

DOI10.1090/tran/8754zbMath1504.13014arXiv2103.08471OpenAlexW3138802726MaRDI QIDQ5039069

Michael K. Brown, Daniel Erman

Publication date: 12 October 2022

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.08471

Mathematics Subject Classification ID

Syzygies, resolutions, complexes and commutative rings (13D02) Homological methods in commutative ring theory (13D99)

Related Items (2)

Lower Bounds on Betti Numbers ⋮ Positivity and nonstandard graded Betti numbers

Uses Software

• Macaulay2
• BoijSoederberg

Cites Work

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• Carlsson's rank conjecture and a conjecture on square-zero upper triangular matrices
• Higher differential objects in additive categories
• Total Betti numbers of modules of finite projective dimension
• Representation dimension of exterior algebras
• Finite regularity and Koszul algebras
• Boij-S\"oderberg theory: Introduction and survey
• Betti numbers of graded modules and cohomology of vector bundles
• Graded Betti numbers of Cohen-Macaulay modules and the multiplicity conjecture
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• Sheaf cohomology and free resolutions over exterior algebras
• Gorenstein homological theory for differential modules

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