Rational curves on quasi-projective surfaces
著者
書誌事項
Rational curves on quasi-projective surfaces
（Memoirs of the American Mathematical Society, no. 669）
American Mathematical Society, 1999
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注記
"July 1999, volume 140, number 669 (third of 4 numbers)" -- T.p
Includes bibliographical references (p. 151-153)
内容説明・目次
内容説明
This book is intended for graduate students and research mathematicians working in algebraic geometry
目次
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.
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