Algebraic Surfaces

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Lectures: A. Beauville: Surfaces algebriques complexes.- F.A. Bogomolov: The theory of invariants and its applications to some problems in the algebraic geometry.- E. Bombieri: Methods of algebraic geometry in Char. P and their applications.- Seminars: F. Catanese: Pluricanonical mappings of surfaces with KA =1,2, q=pg=0.- F. Catanese: On a class of surfaces of general type.- I. Dolgacev: Algebraic surfaces with p=pg =0.- A. Tognoli: Some remarks about the ""Nullstellensatz""

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Title Statements

Full title :Algebraic Surfaces.

Summary

Edition Statements

Publication Date:2011.

Publication Statements

Publisher(s):Springer Berlin Heidelberg
Place of Publication:Berlin, Heidelberg
Language:eng
Publication Date:2011.

The Physical Object

Description:1 online resource (288 pages)

Edition Identifiers

ISBN:9783642110870, 3642110878, 9783642110863, 364211086X
DOI:10.1007/978-3-642-11087-0
oclc:ocn990464185
LC Classification:QA3
Dewey Decimal:516.35

Algebraic Surfaces; Copyright Page; Contents; Surfaces Algébriques Complexes; Introduction; Premiere Partie; 1. Notations et rappeles; 2. Applications birationnells; 3. Surfaces réglées et rationelles; 4. Caractérisation des surfaces rationnelles et réglées; 5. Dimension de Kodaira; 6. Surfaces avec k=0; 7. Surfaces avec k=1 et k=2; 8. Démonstration du lemme-clé; Deuxieme Partie; 1. Structures de Hodge; 2. Surfaces de Kummer et surfaces K3; 3. Surfaces de Kummer spéciales; Bibliographie; Methods of Algebraic Geometry in Char. p and Their Applications to Enriques' Classification.

I. The aim of these lecturesII. The Kodaira vanishing theorem; III. The completeness of the characteristic system; IV. Elliptic or quasi-elliptic fibrations; V. Enriques' surfaces in char.; VI. Characterization of abelian surfaces; VIII. Open problems; References; Algebraic Surfaces with q=pq=0; Introduction; 1. Notations; 2. Historical; 3. Modern development; 4. Acknowledgements; Chapter I. Classical Examples; 1. The Énriques surface; 2. The Godeaux surface; 3. The Campedelli surface; Chapter 2. Elliptic Surfaces; 1. Generalities; 2. Torsiòn; 3. Fundamental group.

Chapter III. Surfaces of General Type1.…