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Local and Global Methods in Algebraic Geometry by Nero Budur, Tommaso de Fernex, Roi Docampo and Kevin Tucker, editors is a book available to read on EtoBox.

What is Local and Global Methods in Algebraic Geometry about?

Cover 1 Title page 4 Contents 8 Preface 10 Scientific program 12 Some remarks on the work of Lawrence Ein 14 References 19 Contractible curves on a rational surface 22 1. Introduction 22 2. Preliminaries 25 3. The contraction theorem 35 4. Basics of the theory of peeling 38 5. The peeling approach to the contraction theorem 42 References 43 On the canonical map of some surfaces isogenous to a product 46 1. Introduction and state of the art on canonical surfaces of high degree in \PP3,\PP4,\PP5 47 2. Representations yielding an affine, respectively a projective embedding, of a finite group G 49 3. Canonical maps of Galois coverings and of surfaces isogenous to a product 58 4. Surfaces with record winning high canonical degree 61 5. New double canonical surfaces 68 References 69 Degeneration of differentials and moduli of nodal curves on K3 surfaces 72 1. Introduction 72 2. Semistable degenerations and the abstract log complex 76 3. The K3 case 80 4. Proof of Proposition 3.4 85 References 91 Weak Brill-Noether for rational surfaces 94 1. Introduction 94 2. Preliminaries 98 3. Strong exceptional collections and resolutions 101 4. Blowups of \P2 revisited 111 5. Del Pezzo surfaces 113

Author

Nero Budur, Tommaso de Fernex, Roi Docampo and Kevin Tucker, editors

Language

EN