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 hdl:20.500.11880/26383 http://dx.doi.org/10.22028/D291-26327 |
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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preprint_163_05.pdf | 158,55 kB | Adobe PDF | View/Open |
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