Extensions of Holomorphic Functions in Toric Varieties » książka
Extensions of Holomorphic Functions in Toric Varieties
ISBN-13: 9783639169485 / Angielski / Miękka / 2009 / 124 str.
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.
This monograph treats classical complex analysisproblems considered for toric varieties. Theseproblems were originally posed and solved on complexn-spaces; and they are very difficult if consideredfor an arbitrary complex manifold.The author describes the Hartogs and theHartogs-Bochner extension phenomena in smooth toricvarieties and their connection with the firstcohomology group with compact supports. The mainproblem with compact sets, which appear in theHartogs phenomena, is that a compact set cut into aparticular coordinate patch does not have to remaincompact. Therefore, a global view of compact sets isabsolutely necessary for this problem. Theaffirmative and negative results are proved usingtopological, analytic, and algebraic methods. Themonograph is suitable for junior and seniormathematicians interested in the theory of severalcomplex variables, toric varieties, and ends oftopological spaces.
Czytaj nas na:
KrainaKsiazek.PL - Księgarnia Internetowa
