Rational Curves on Quasi-projective Surfaces (Memoirs of the American Mathematical Society)

Rational Curves on Quasi-projective Surfaces (Memoirs of the American Mathematical Society)

By: Sean Keel (author), James McKernan (author)Paperback

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Description

This book is intended for graduate students and research mathematicians working in algebraic geometry

Contents

Introduction and statement of results Glossary of notation and conventions Gorenstein del Pezzo surfaces Bug-eyed covers Log deformation theory Criteria for log uniruledness Reduction to $\pi^{\text{alg}} {1}(S^0)=\{1\}$ Flushness and preparation for the hunt Bogomolov bound Riemann Roch and surfaces with small coefficient A partial classification of $K {T}$-contractions the linear system $\vert K {S} + A\vert$ Classification of bananas and fences $T 1$ a net $g(A 1)> 1$ $A 1$ has a simple cusp $A 1$ has a simple node $A 1$ smooth The smooth banana Proof of (1.1) and corollaries A surface with $\pi^{\text{alg}} 1(S^0)=\{1\}$ but no tiger Tigers, complements and toric pairs Classification of almost all rank one log del Pezzos Appendix: Log terminal surface singularities and adjunction Appendix: Normalisation of an algebraic space Index to obscure or unconventional notation References.

Product Details

  • ISBN13: 9780821810965
  • Format: Paperback
  • Number Of Pages: 669
  • ID: 9780821810965
  • ISBN10: 0821810960

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