1.

Record Nr.

UNINA9910480635403321

Autore

Keel Seán

Titolo

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

Pubbl/distr/stampa

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

©1999

ISBN

1-4704-0260-2

Descrizione fisica

1 online resource (169 p.)

Collana

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

Disciplina

510 s

516.3/52

Soggetti

Surfaces, Algebraic

Algebraic varieties

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

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

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

""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""