Format:
Online-Ressource
ISBN:
9783642110870
Series Statement:
C.I.M.E. Summer Schools 76
Content:
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"
Note:
Description based upon print version of record
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Algebraic Surfaces; Copyright Page; Contents; Surfaces Algébriques Complexes; Introduction; Bibliographie; Methods of Algebraic Geometry in Char. p and Their Applications to Enriques' Classification; I. The aim of these lectures; II. 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; Chapter I. Classical Examples; Chapter 2. Elliptic Surfaces
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Chapter III. Surfaces of General TypeBibliography; Epilogue; Supplementary bibliography; The Theory of invariants and Its Applications to Some Problems in the Algebric Geometry; 1. Introduction to invariant theory; 2. Unstability of bundle, sufficient conditions; 3. Subbundles in cotangent bundle of a surface; 4. Symmetric tensors on a surface; 5. Finiteness Theorems for surfaces of general type; 6. Foliations on surfaces; 7. The VII o surfaces with b2=0.; Pluricanonical Mappings of Surfaces with K2=1,2 , q=pg=0(*); I. Introduction; II. Some auxiliary results
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III. Birationality of F 4K for a numerical Godeaux surfaceIV. Birationality of F3K for a numerical Campedelli surface; V. Birationality of F3K for a numerical Godeaux surface; References; On a Class of Surfaces of General Type; I. Introduction; II. Geometry of the double symmetric product of an elliptic curve; III. Existence of surfaces vith K2= 2, pg=q=1; IV. Surfaces with K2=2, ?=1, q=1 are double covers of the symmetric product of their Albanese variety; V. Some results on the structure of these surfaces and on their deformations; References; Some Remarks About the "NULLSTELLENSATZ"
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IntroductionReferences;
Language:
English
Keywords:
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