TY  - GEN
T1  - On the Hilbert-Samuel multiplicity of Fredholm tuples
A1  - Eschmeier,Jörg
Y1  - 2012/03/06
N2  - 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.
CY  - Saarbrücken
PB  - Universitäts- und Landesbibliothek
AD  - Postfach 151141, 66041 Saarbrücken
UR  - http://scidok.sulb.uni-saarland.de/volltexte/2012/4631
ER  -