ISBN-10:
3639169484
ISBN-13:
9783639169485
Pub. Date:
06/25/2009
Publisher:
VDM Verlag
Extensions Of Holomorphic Functions In Toric Varieties

Extensions Of Holomorphic Functions In Toric Varieties

by Malgorzata Marciniak

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Overview

Extensions Of Holomorphic Functions In Toric Varieties

This monograph treats classical complex analysis problems considered for toric varieties. These problems were originally posed and solved on complex n-spaces; and they are very difficult if considered for an arbitrary complex manifold.
The author describes the Hartogs and the
Hartogs-Bochner extension phenomena in smooth toric varieties and their connection with the first cohomology group with compact supports. The main problem with compact sets, which appear in the
Hartogs phenomena, is that a compact set cut into a particular coordinate patch does not have to remain compact. Therefore, a global view of compact sets is absolutely necessary for this problem. The affirmative and negative results are proved using topological, analytic, and algebraic methods. The monograph is suitable for junior and senior mathematicians interested in the theory of several complex variables, toric varieties, and ends of topological spaces.

Product Details

ISBN-13: 9783639169485
Publisher: VDM Verlag
Publication date: 06/25/2009
Pages: 124
Product dimensions: 0.29(w) x 6.00(h) x 9.00(d)

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