Titlebook: Symplectic 4-Manifolds and Algebraic Surfaces; Lectures given at th Denis Auroux,Marco Manetti,Ivan Smith,Fabrizio Cat Book 2008 Springer-V

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Differentiable and Deformation Type of Algebraic Surfaces, Real and Symplectic Structures, complex and real manifolds’, planned and announced originally..In lecture three we show first that deformation equivalence implies diffeomorphism, and then, using a result concerning symplectic approximations of projective varieties with isolated singularities and Moser‘s theorem, we show that a su

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Smoothings of Singularities and Deformation Types of Surfaces, of general type. We are especially interested in the results obtained after the last C.I.M.E. course on this topic, course made by F. Catanese in 1985 [24]; the reading of the C.I.M.E. notes [24] provides also an ideal starting point for this chapter..In order to introduce and to give motivation, w

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Lectures on Pseudo-Holomorphic Curves and the Symplectic Isotopy Problem,etraro (Italy), September 2–10, 2003. The aim of these lectures were mostly to introduce graduate students to pseudo-holomorphic techniques for the study of isotopy of symplectic submanifolds in dimension four. We tried to keep the style of the lectures by emphasizing the basic reasons for the corre

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Lecture Notes in Mathematicshttp://image.papertrans.cn/t/image/883999.jpg