A FREENESS CRITERION WITHOUT PATCHING FOR MODULES OVER LOCAL RINGS

DOI10.1017/s147474802100061xarXiv2010.08026OpenAlexW3092758748MaRDI QIDQ6171801

Srikanth B. Iyengar, Chandrashekhar B. Khare, Sylvain Brochard

Publication date: 16 August 2023

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.08026

zbMATH Keywords

patchingcomplete intersectionfreeness criterion

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Galois representations (11F80) Syzygies, resolutions, complexes and commutative rings (13D02)

Cites Work

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• Codimension and multiplicity
• Structure of local homomorphisms
• The Taylor-Wiles construction and multiplicity one
• Modularity lifting beyond the Taylor-Wiles method
• Modular elliptic curves and Fermat's Last Theorem
• Ring-theoretic properties of certain Hecke algebras
• Locally complete intersection homomorphisms and a conjecture of Quillen on the vanishing of cotangent homology
• Symmetric power functoriality for holomorphic modular forms. II.
• Finiteness in derived categories of local rings
• Proof of de Smit’s conjecture: a freeness criterion
• Möbius orthogonality for generalized Morse-Kakutani flows
• The Cotangent Complex of a Morphism
• Adjoint Selmer groups of automorphic Galois representations of unitary type

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