Memoirs of the American Mathematical Society 1999; 153 pp; softcover Volume: 140 ISBN10: 0821810960 ISBN13: 9780821810965 List Price: US$54 Individual Members: US$32.40 Institutional Members: US$43.20 Order Code: MEMO/140/669
 Readership Graduate students and research mathematicians working in algebraic geometry. Table of Contents  Introduction and statement of results
 Glossary of notation and conventions
 Gorenstein del Pezzo surfaces
 Bugeyed 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
