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Author: Henry Paul Miranda
Publisher:
ISBN:
Category : Geometry, Algebraic
Languages : en
Pages : 196
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Author: Henry Paul Miranda
Publisher:
ISBN:
Category : Geometry, Algebraic
Languages : en
Pages : 196
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Author: Gabriele La Nave
Publisher:
ISBN:
Category : Elliptic surfaces
Languages : en
Pages : 104
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Author: Rick Miranda
Publisher:
ISBN:
Category : Curves, Elliptic
Languages : en
Pages : 126
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Author: Fabrizio Catanese
Publisher: Springer Science & Business Media
ISBN: 3540354808
Category : Mathematics
Languages : en
Pages : 508
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Book Description
This collection of surveys present an overview of recent developments in Complex Geometry. Topics range from curve and surface theory through special varieties in higher dimensions, moduli theory, Kähler geometry, and group actions to Hodge theory and characteristic p-geometry. Written by established experts this book will be a must for mathematicians working in Complex Geometry
Author: Henry P. Miranda
Publisher:
ISBN:
Category :
Languages : en
Pages : 74
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Author: Robert Friedman
Publisher: Springer Science & Business Media
ISBN: 3662030284
Category : Mathematics
Languages : en
Pages : 532
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Book Description
In 1961 Smale established the generalized Poincare Conjecture in dimensions greater than or equal to 5 [129] and proceeded to prove the h-cobordism theorem [130]. This result inaugurated a major effort to classify all possible smooth and topological structures on manifolds of dimension at least 5. By the mid 1970's the main outlines of this theory were complete, and explicit answers (especially concerning simply connected manifolds) as well as general qualitative results had been obtained. As an example of such a qualitative result, a closed, simply connected manifold of dimension 2: 5 is determined up to finitely many diffeomorphism possibilities by its homotopy type and its Pontrjagin classes. There are similar results for self-diffeomorphisms, which, at least in the simply connected case, say that the group of self-diffeomorphisms of a closed manifold M of dimension at least 5 is commensurate with an arithmetic subgroup of the linear algebraic group of all automorphisms of its so-called rational minimal model which preserve the Pontrjagin classes [131]. Once the high dimensional theory was in good shape, attention shifted to the remaining, and seemingly exceptional, dimensions 3 and 4. The theory behind the results for manifolds of dimension at least 5 does not carryover to manifolds of these low dimensions, essentially because there is no longer enough room to maneuver. Thus new ideas are necessary to study manifolds of these "low" dimensions.
Author: Martin Lübke
Publisher:
ISBN:
Category :
Languages : de
Pages : 23
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Author: Julie B. Rogers
Publisher:
ISBN:
Category : Curves, Elliptic
Languages : en
Pages : 103
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Author: Vasile Brînzănescu
Publisher:
ISBN:
Category :
Languages : en
Pages : 15
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Author: Isao Naruki
Publisher:
ISBN:
Category : Curves, Plane
Languages : en
Pages : 60
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