منابع مشابه
Vanishing theorem for the cohomology of line bundles on Bott-Samelson varieties
Bott-Samelson varieties were originally defined as desingularizations of Schubert varieties and were used to describe the geometry of Schubert varieties. In particular, the cohomology of some line bundles on Bott-Samelson varieties were used to prove that Schubert varieties are normal, Cohen-Macaulay and with rational singularities (see for example [BK05]). In this paper, we will be interested ...
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The Bott periodicity theorem is of fundamental importance in many areas of mathematics, from algebraic topology to functional analysis. It appears unexpectedly in different guises and I would like to explain some of these as well as the influence it has had on the development of different fields. I will concentrate on two roles that periodicity plays. First, periodicity allows one to deloop cla...
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This paper aims to present the well-known spectral mapping theorem for multi-variable functions.
متن کاملOn the Converse to a Theorem of Atiyah and Bott
Throughout this paper, C denotes a smooth projective curve of genus at least one, G denotes a reductive linear algebraic group over C, and ξ0 is a C ∞ principal G-bundle over C. The space of all (0, 1)-connections on ξ0 is an affine space A = A(ξ0) associated to the infinite dimensional complex vector space H0,1(C; ad ξ0). Following Shatz [6] for the case G = GL(n), Atiyah and Bott [1] defined ...
متن کاملOn Saito’s Vanishing Theorem
We reprove Saito’s vanishing theorem for mixed Hodge modules by the method of Esnault and Viehweg. The main idea is to exploit the strictness of direct images on certain branched coverings.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1985
ISSN: 0002-9939
DOI: 10.2307/2045247