منابع مشابه
On the Complements of Affine Subspace Arrangements
Let V be an l−dimensional real vector space. A subspace arrangement A is a finite collection of affine subspaces in V . There is no assumption on the dimension of the elements of A. Let M(A) = V −∪A∈AA be the complement of A. A method of calculating the additive structure of H(M(A)) was given in [G-MP] using stratified Morse theory, proving that H(M(A)) depends only on the set of all intersecti...
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A classical result of Arnold and Brieskorn [Bk], [Bk2] states that the complement of the discriminant of the versal unfolding of a simple hypersurface singularity is a K(π, 1). Deligne [Dg] showed this result could be placed in the general framework by proving that the complement of an arrangement of reflecting hyperplanes for a Coxeter group is again a K(π, 1) (and more generally for simplicia...
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Let X = C. In this paper we present an algorithm that computes the de Rham cohomology groups H dR(U, C) where U is the complement of an arbitrary Zariski-closed set Y in X . Our algorithm is a merger of the algorithm given by T. Oaku and N. Takayama ([7]), who considered the case where Y is a hypersurface, and our methods from [9] for the computation of local cohomology. We further extend the a...
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Let X = C n. In this paper we present an algorithm that computes the cup product structure for the de Rham cohomology ring H dR (U; C) where U is the complement of an arbitrary Zariski-closed set Y in X. Our method relies on the fact that Tor is a balanced functor, a property which we make algorithmic, as well as a technique to extract explicit representatives of cohomology classes in a restric...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1969
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1969.31.595