Classification of complex algebraic surfaces
By: Ciro Ciliberto
Series: EMS Series of Lectures in Mathematics; EMS series of lectures in mathematics
Publisher: European Mathematical Society
Published: 2020
Place of publication: Berlin, Germany
Language: eng
Number of pages: 133
ISBN-13: 9783037192108
Subjects: Algebraic Surfaces
Notes: Book grew from notes of a graduate course the author gave at University of Roman "Tor Vergata" in academic year 2018-19

Includes bibliographical references and index.
Table of contents: title: Some preliminaries; title: Characterization of the complex projective plane; title: Minimal models; title: Ruled surfaces; title: Surfaces with non-nef canonical bundle; title: The cone theorem; title: The minimal model programme; title: The Castelnuovo rationality criterion; title: The fundamental theorem of the classification; title: Classification and the abundance theorem; title: Surfaces of general type; title: The Bagnera-De Franchis classification of bielliptic surfaces; title: The P12-theorem; title: The Sarkisov programme; title: The classical Noether-Castelnuovo theorem; title: Examples.