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

Fabrizio Catanese

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arXiv · 0705.1522

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

Fabrizio Catanese

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Abstract

Lecture 1: Projective and Kähler 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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BibTeX RIS

Fabrizio Catanese. 2007-05-10. Differentiable and deformation type of algebraic surfaces, real and symplectic structures. https://arxiv.org/abs/0705.1522

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