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＜電子ブック＞
Symplectic 4-Manifolds and Algebraic Surfaces : Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 2-10, 2003 / by Denis Auroux, Fabrizio Catanese, Marco Manetti, Paul Seidel, Bernd Siebert, Ivan Smith, Gang Tian ; edited by Fabrizio Catanese, Gang Tian
(C.I.M.E. Foundation Subseries. ISSN:29461820 ; 1938)

版	1st ed. 2008.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2008
本文言語	英語
大きさ	XIV, 354 p. 15 illus : online resource
著者標目	*Auroux, Denis author Catanese, Fabrizio author Manetti, Marco author Seidel, Paul author Siebert, Bernd author Smith, Ivan author Tian, Gang author Catanese, Fabrizio editor Tian, Gang editor SpringerLink (Online service)
件　名	LCSH:Algebraic geometry LCSH:Geometry, Differential LCSH:Functions of complex variables LCSH:Group theory LCSH:Manifolds (Mathematics) FREE:Algebraic Geometry FREE:Differential Geometry FREE:Several Complex Variables and Analytic Spaces FREE:Group Theory and Generalizations FREE:Manifolds and Cell Complexes
一般注記	Lefschetz Pencils, Branched Covers and Symplectic Invariants -- Differentiable and Deformation Type of Algebraic Surfaces, Real and Symplectic Structures -- Smoothings of Singularities and Deformation Types of Surfaces -- Lectures on Four-Dimensional Dehn Twists -- Lectures on Pseudo-Holomorphic Curves and the Symplectic Isotopy Problem Modern approaches to the study of symplectic 4-manifolds and algebraic surfaces combine a wide range of techniques and sources of inspiration. Gauge theory, symplectic geometry, pseudoholomorphic curves, singularity theory, moduli spaces, braid groups, monodromy, in addition to classical topology and algebraic geometry, combine to make this one of the most vibrant and active areas of research in mathematics. It is our hope that the five lectures of the present volume given at the C.I.M.E. Summer School held in Cetraro, Italy, September 2-10, 2003 will be useful to people working in related areas of mathematics and will become standard references on these topics. The volume is a coherent exposition of an active field of current research focusing on the introduction of new methods for the study of moduli spaces of complex structures on algebraic surfaces, and for the investigation of symplectic topology in dimension 4 and higher HTTP:URL=https://doi.org/10.1007/978-3-540-78279-7

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