Classification of complex algebraic surfaces

Classification of complex algebraic surfaces

by Ciliberto, C., (Ciro)

Type Book
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Title Statements

  • Full title :Classification of complex algebraic surfaces / Ciro Ciliberto.

Edition Statements

  • Publication Date:2020

Publication Statements

Notes

Book grew from notes of a graduate course the author gave at University of Roman "Tor Vergata" in academic year 2018-19

The Physical Object

  • Description:ix, 133 pages : : illustrations ; : 24 cm

Edition Identifiers

  • ISBN:9783037192108, 3037192100
  • oclc:on1160089103
  • LC Classification:QA573
  • Dewey Decimal:514.2

Table of Contents

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

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