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 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
Наименование:

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

автор Malgorzata M. издательство Книга по Требованию Математический анализ. Кратные и криволинейные интегралы. Задачи, решения
Cтраниц 124        мягкая обложка       
Аннотация: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. 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 affirmative and negative results are proved using topological, analytic, and algebraic methods. Therefore, a global view of compact sets is absolutely necessary for this problem. The monograph is suitable for junior and senior mathematicians interested in the theory of several complex variables, toric varieties, and ends of topological spaces. 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.
Автор: Malgorzata M.
Издательство: Книга по Требованию
Год:2009
Цена:
2384 руб
Нет в наличии
Поиск: 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



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