منابع مشابه
The Homology of Kummer Manifolds
The theory of Kummer surfaces is a classical topic in algebraic geometry.1 A generalization to higher dimensions has been given by W. Wirtinger.2 The varieties introduced by Wirtinger may be called Kummer varieties and have algebraic dimension n with 22n ordinary double points. If these double points are desingularized in a standard manner by means of "dilatations," one obtains nonsingular vari...
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Let L ⊆ C be a lattice and consider the compact complex torus XL = C/L. Let Γ 6 Aut(L) ∩ SL2m C be a (finite) group of automorphisms of L whose action on C is semifree (i.e., free away from 0). X L consists of finitely many isolated fixed points, so the orbifold XL/Γ has finitely many isolated singularities. We can resolve these singularities by ‘blowing up’ each of the singular points. In fact...
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We construct examples of nonresolvable generalized «-manifolds, n > 6 , with arbitrary resolution obstruction, homotopy equivalent to any simply connected, closed «-manifold. We further investigate the structure of generalized manifolds and present a program for understanding their topology. By a generalized n-manifold we will mean a finite-dimensional absolute neighborhood retract X such that ...
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In these notes “homology manifold” means ENR (Euclidean neighborhood retract) Z–coefficient homology manifold, unless otherwise specified, and “exotic” means not a manifold factor (ie local or “Quinn” index 6= 1. We use the multiplicative version of the local index, taking values in 1+8Z). In the last decade exotic homology manifolds have been shown to exist and quite a bit of structure theory ...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1956
ISSN: 0002-9939
DOI: 10.2307/2033261