Differentiable and deformation type of algebraic surfaces, real and symplectic structures

Details Differentiable and deformation type of algebraic surfaces, real and symplectic structures Differentiable and deformation type of algebraic surfaces, real and symplectic structures

2007-05-10

arxiv.org/abs/0705.1522v1

Mathematics

Algebraic Geometry

109 pages, 10 Figures, preliminary version of a Lecture Notes, to appear in LNM "Algebraic surfaces and symplectic 4-manifolds

Scientific paper

Lecture 1: Projective and K\"ahler Manifolds, the Enriques classification, construction techniques. Lecture 2: Surfaces of general type and their Canonical models. Deformation equivalence and singularities. Lecture 3: Deformation and diffeomorphism, canonical symplectic structure for surfaces of general type. Lecture 4: Irrational pencils, orbifold fundamental groups, and surfaces isogenous to a product. Lecture 5: Lefschetz pencils, braid and mapping class groups, and diffeomorphism of ABC-surfaces. Epilogue: Deformation, diffeomorphism and symplectomorphism type of surfaces of general type.

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