Overview

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

Full Product Details

Author:   Sean Keel ,  James McKernan
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   No. 669
Dimensions:   Width: 17.60cm , Height: 0.50cm , Length: 23.00cm
Weight:   0.312kg
ISBN:  

9780821810965

ISBN 10:   0821810960
Pages:   669
Publication Date:   30 June 1999
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of 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.

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