Please use this identifier to cite or link to this item: doi:10.22028/D291-26327
Title: On the Hilbert-Samuel multiplicity of Fredholm tuples
Author(s): Eschmeier, Jörg
Language: English
Year of Publication: 2005
DDC notations: 510 Mathematics
Publikation type: Other
Abstract: For commuting tuples R\in L(Z)^{n} of Banach-space operators that arise as quotients of lower semi-Fredholm systems T\in L(X)^{n} with constant cohomology dimension \textrm{dim}H^{n}(z-T,X) near the origin 0\in\mathbb{C}^{n}, we show that the Hilbert-Samuel multiplicity of R calculates the rank of the cohomology sheaf 0\in\mathbb{C}^{n}(z-R,\mathcal{O}_{\mathbb{C}^{n}}^{Z}) at z=0.
Link to this record: urn:nbn:de:bsz:291-scidok-46319
Series name: Preprint / Fachrichtung Mathematik, Universität des Saarlandes
Series volume: 163
Date of registration: 6-Mar-2012
Faculty: MI - Fakultät für Mathematik und Informatik
Department: MI - Mathematik
Collections:SciDok - Der Wissenschaftsserver der Universität des Saarlandes

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