Mathematics – Complex Variables
Scientific paper
2005-09-23
Mathematics
Complex Variables
14 pages
Scientific paper
We show that the holomorphic ideal sheaf of a linear section of a pseudoconvex open subset $\Omega$ of, say, a Hilbert space $X=\ell_2$ is acyclic. We also prove an analog of Hefer's lemma, i.e., if $f:\Omega\times\Omega\to\CC$ is holomorphic and $f(x,x)=0$ for $x\in\Omega$, then there is a holomorphic $g:\Omega\times\Omega\to X^*$ with values in the dual space $X^*$ of $X$ such that $f(x,y)=g(x,y)(x-y)$
No associations
LandOfFree
An analytic Koszul complex in a Banach space does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with An analytic Koszul complex in a Banach space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An analytic Koszul complex in a Banach space will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-71310