Malgorzata Marciniak

Extensions of Holomorphic Functions in Toric Varieties

The Hartogs and the Hartogs-Bochner Extension Phenomena obtained with the use of the Ends and the Cohomology Groups with Compact Supports

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Verlag: VDM Verlag Dr. Müller
• Seitenzahl: 124
• Englisch
• Gewicht: 175g
• ISBN-13: 9783639169485
• ISBN-10: 3639169484
• Artikelnr.: 26563923

Autorenporträt

Ma gorzata Aneta Marciniak, Ph.D., studied Mathematics at the
University of Warsaw and at the Missouri University of Science
and Technology. She has given multiple presentations for
mathematical societies including research talks during special
sessions of AMS meetings. She has been a member of AMS and MAA
since January 2006.