Estimates for Hilbertian Koszul homology

DOI10.1016/J.JFA.2007.12.016zbMath1155.47008OpenAlexW2004173769MaRDI QIDQ935040

Xiang Fang

Publication date: 31 July 2008

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2007.12.016

zbMATH Keywords

homologyKoszul complexLech's formulamultivariable Fredholm theory

Mathematics Subject Classification ID

Analytic sheaves and cohomology groups (32C35) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) (Semi-) Fredholm operators; index theories (47A53)

Related Items (1)

An Introduction to Hilbert Module Approach to Multivariable Operator Theory

Cites Work

• On the associativity formula for multiplicities
• The Fredholm index of a pair of commuting operators. II
• Base change and the Fredholm index
• Spectral theory and sheaf theory. II
• The Riemann-Roch theorem for complex spaces
• The Dirac operator of a commuting \(d\)-tuple.
• Samuel multiplicity and the structure of semi-Fredholm operators
• Samuel multiplicity and Fredholm theory
• The Fredholm index of a pair of commuting operators
• Local cohomology. A seminar given by A. Grothendieck, Harvard University, Fall 1961. Notes by R. Hartshorne
• Note on multiplicities of ideals
• Analytic families of differential complexes
• A joint spectrum for several commuting operators
• The analytic-functional calculus for several commuting operators
• Fredholm and Invertible n-Tuples of Operators. The Deformation Problem
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