Examples of finite free complexes of small rank and small homology

DOI10.4310/ACTA.2018.v221.n1.a4zbMath1403.13026arXiv1706.02156OpenAlexW2964030441MaRDI QIDQ1623215

Mark E. Walker, Srikanth B. Iyengar

Publication date: 23 November 2018

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.02156

zbMATH Keywords

toral rank conjecturecomplete intersection ringtotal Betti numberfinite free complex

Mathematics Subject Classification ID

Finite groups of transformations in algebraic topology (including Smith theory) (55M35) Finite transformation groups (57S17) Syzygies, resolutions, complexes and commutative rings (13D02) Homological conjectures (intersection theorems) in commutative ring theory (13D22)

Related Items (12)

Minimal free resolutions of differential modules ⋮ Big Cohen-Macaulay modules, morphisms of perfect complexes, and intersection theorems in local algebra ⋮ Multiplicativity and nonrealizable equivariant chain complexes ⋮ Lower Bounds on Betti Numbers ⋮ Multiplicities and Betti numbers in local algebra via lim Ulrich points ⋮ Cohomological jump loci and duality in local algebra ⋮ Automorphisms of the Koszul homology of a local ring ⋮ Free \((\mathbb{Z} / p)^n\)-complexes and \(p\)-DG modules ⋮ The toral rank conjecture and variants of equivariant formality ⋮ Quadratic complete intersections ⋮ Carlsson's rank conjecture and a conjecture on square-zero upper triangular matrices ⋮ Adams Operations in Commutative Algebra

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