Rational curves on quasi-projective surfaces / Seán Keel, James McKernan.

Format:

Book

Author/Creator:

Keel, Seán, author.

McKernan, James, 1964- author.

Series:

Memoirs of the American Mathematical Society ; no. 669.

Memoirs of the American Mathematical Society, 0065-9266 ; number 669

Language:

English

Subjects (All):

Surfaces, Algebraic.

Algebraic varieties.

Physical Description:

1 online resource (169 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [1999]

Language Note:

English

Summary:

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

Contents:

""Contents""; ""Abstract""; ""Â1 Introduction and Statement of Results""; ""Â2 Glossary of notation and conventions""; ""Â3 Gorenstein del Pezzo surfaces""; ""Â4 Bug-Eyed covers""; ""Â5 Log deformation theory""; ""Â6 Criteria for log uniruledness""; ""Â7 Reduction to Ï€[sup(alg)][sub(1)](S[sup(0)]) = {1}""; ""Â8 Flushness and Preparation for the Hunt""; ""Â9 Bogomolov Bound""; ""Â10 Riemann Roch and Surfaces with Small Coefficient""; ""Â11 A partial classification of K[sub(T)]-contractions""; ""Â12 The linear system |K[sub(s)] + A|""; ""Â13 Classification of Bananas and Fences""

""Â14 T[sub(1)]a net""""Â15 g{A[sub(1)]) > 1""; ""Â16 A\ has a simple cusp""; ""Â17 A\ has a simple node""; ""Â18 Ai smooth""; ""Â19 The smooth banana""; ""Â20 Proof of (1.1) and corollaries""; ""Â21 A surface with Ï€[sup(alg)][sub(1)](S[sup(0)]) = {1} but no tiger""; ""Â22 Tigers, complements and toric pairs""; ""Â23 Classification of almost all rank one log del Pezzos""; "" Appendix L: Log terminal surface singularities and adjunction""; "" Appendix N: Normalisation of an algebraic space""; ""Index to Obscure or unconventional notation""; ""References""

Notes:

"July 1999, volume 140, number 669 (third of 4 numbers)."

Includes bibliographical references and index.

Description based on print version record.

ISBN:

1-4704-0260-2