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Author : Donald Clayton Spencer
Publisher : Unknown
Page : 32 pages
File Size : 41,7 Mb
Release : 1962
Category : Pseudogroup structures, Deformation of
ISBN : STANFORD:36105031331999
Author : K. Kodaira
Publisher : Springer Science & Business Media
Page : 476 pages
File Size : 46,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461385905
This book is an introduction to the theory of complex manifolds and their deformations. Deformation of the complex structure of Riemann surfaces is an idea which goes back to Riemann who, in his famous memoir on Abelian functions published in 1857, calculated the number of effective parameters on which the deformation depends. Since the publication of Riemann's memoir, questions concerning the deformation of the complex structure of Riemann surfaces have never lost their interest. The deformation of algebraic surfaces seems to have been considered first by Max Noether in 1888 (M. Noether: Anzahl der Modulen einer Classe algebraischer Fliichen, Sitz. K6niglich. Preuss. Akad. der Wiss. zu Berlin, erster Halbband, 1888, pp. 123-127). However, the deformation of higher dimensional complex manifolds had been curiously neglected for 100 years. In 1957, exactly 100 years after Riemann's memoir, Frolicher and Nijenhuis published a paper in which they studied deformation of higher dimensional complex manifolds by a differential geometric method and obtained an important result. (A. Fr61icher and A. Nijenhuis: A theorem on stability of complex structures, Proc. Nat. Acad. Sci., U.S.A., 43 (1957), 239-241).
Author : Donald Clayton Spencer
Publisher : Unknown
Page : 462 pages
File Size : 48,6 Mb
Release : 1961
Category : Set theory
ISBN : STANFORD:36105016803160
Author : Kunihiko Kodaira
Publisher : Unknown
Page : 465 pages
File Size : 53,5 Mb
Release : 1981
Category : Electronic
ISBN : OCLC:802704184
Author : K. Kodaira,K. Akao
Publisher : Unknown
Page : 480 pages
File Size : 54,7 Mb
Release : 1985-11-22
Category : Electronic
ISBN : 1461385911
Author : Claude Sabbah
Publisher : Springer Science & Business Media
Page : 290 pages
File Size : 46,5 Mb
Release : 2007-12-20
Category : Mathematics
ISBN : 9781848000544
Based on a series of graduate lectures, this book provides an introduction to algebraic geometric methods in the theory of complex linear differential equations. Starting from basic notions in complex algebraic geometry, it develops some of the classical problems of linear differential equations. It ends with applications to recent research questions related to mirror symmetry. The fundamental tool used is that of a vector bundle with connection. The book includes complete proofs, and applications to recent research questions. Aimed at graduate students and researchers, the book assumes some familiarity with basic complex algebraic geometry.
Author : Juan Souto Clement
Publisher : Unknown
Page : 92 pages
File Size : 55,5 Mb
Release : 1957
Category : Convergence
ISBN : CHI:61698242
Author : Juan Souto Clement
Publisher : Unknown
Page : 86 pages
File Size : 42,7 Mb
Release : 2001
Category : Convergence
ISBN : UOM:39015058123582
Author : Masatake Kuranishi
Publisher : Montreal, U. P
Page : 99 pages
File Size : 51,6 Mb
Release : 1971
Category : Complex manifolds
ISBN : 0840501714
Author : M. Hazewinkel
Publisher : Springer
Page : 932 pages
File Size : 42,9 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781489937919
Author : Julian Lawrynowicz
Publisher : Springer Science & Business Media
Page : 347 pages
File Size : 53,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789400926431
Selected Papers from the Seminar on Deformations, Lódz-Lublin, 1985/87
Author : Paul Igodt,Herbert Abels,Yves Félix,Fritz Grunewald
Publisher : American Mathematical Soc.
Page : 310 pages
File Size : 52,7 Mb
Release : 2000
Category : Science
ISBN : 9780821820018
This volume contains articles written by the invited speakers and workshop participants from the conference on 'Crystallographic Groups and Their Generalizations', held at Katholieke Universiteit Leuven, Kortrijk (Belgium). Presented are recent developments and open problems. Topics include the theory of affine structures and polynomial structures, affine Schottky groups and crooked tilings, theory and problems on the geometry of finitely generated solvable groups, flat Lorentz 3-manifolds and Fuchsian groups, filiform Lie algebras, hyperbolic automorphisms and Anosov diffeomorphisms on infra-nilmanifolds, localization theory of virtually nilpotent groups and aspherical spaces, projective varieties, and results on affine appartment systems. Participants delivered high-level research mathematics and a discussion was held forum for new researchers. The survey results and original papers contained in this volume offer a comprehensive view of current developments in the field.
Author : Michiel Hazewinkel,Murray Gerstenhaber
Publisher : Springer Science & Business Media
Page : 1024 pages
File Size : 48,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789400930575
This volume is a result of a meeting which took place in June 1986 at 'll Ciocco" in Italy entitled 'Deformation theory of algebras and structures and applications'. It appears somewhat later than is perhaps desirable for a volume resulting from a summer school. In return it contains a good many results which were not yet available at the time of the meeting. In particular it is now abundantly clear that the Deformation theory of algebras is indeed central to the whole philosophy of deformations/perturbations/stability. This is one of the main results of the 254 page paper below (practically a book in itself) by Gerstenhaber and Shack entitled "Algebraic cohomology and defor mation theory". Two of the main philosphical-methodological pillars on which deformation theory rests are the fol lowing • (Pure) To study a highly complicated object, it is fruitful to study the ways in which it can arise as a limit of a family of simpler objects: "the unraveling of complicated structures" . • (Applied) If a mathematical model is to be applied to the real world there will usually be such things as coefficients which are imperfectly known. Thus it is important to know how the behaviour of a model changes as it is perturbed (deformed).
Author : Krzysztof Galicki,Santiago R. Simanca
Publisher : Springer Science & Business Media
Page : 303 pages
File Size : 41,7 Mb
Release : 2010-07-25
Category : Mathematics
ISBN : 9780817647438
Riemannian Topology and Structures on Manifolds results from a similarly entitled conference held on the occasion of Charles P. Boyer’s 65th birthday. The various contributions to this volume discuss recent advances in the areas of positive sectional curvature, Kähler and Sasakian geometry, and their interrelation to mathematical physics, especially M and superstring theory. Focusing on these fundamental ideas, this collection presents review articles, original results, and open problems of interest.
Author : Robion C. Kirby,Laurence C. Siebenmann
Publisher : Princeton University Press
Page : 376 pages
File Size : 45,6 Mb
Release : 1977-05-21
Category : Mathematics
ISBN : 0691081913
Since Poincaré's time, topologists have been most concerned with three species of manifold. The most primitive of these--the TOP manifolds--remained rather mysterious until 1968, when Kirby discovered his now famous torus unfurling device. A period of rapid progress with TOP manifolds ensued, including, in 1969, Siebenmann's refutation of the Hauptvermutung and the Triangulation Conjecture. Here is the first connected account of Kirby's and Siebenmann's basic research in this area. The five sections of this book are introduced by three articles by the authors that initially appeared between 1968 and 1970. Appendices provide a full discussion of the classification of homotopy tori, including Casson's unpublished work and a consideration of periodicity in topological surgery.
