TY  - BOOK
AU  - Keel,Se�an
AU  - McKernan,James
TI  - Rational curves on quasi-projective surfaces
T2  - Memoirs of the American Mathematical Society, 
SN  - 9781470402600 (online)
AV  - QA3QA573 .A57 no. 669
U1  - 510 s516.3/52 21
PY  - 1999///
CY  - Providence, R.I.
PB  - American Mathematical Society
KW  - Surfaces, Algebraic
KW  - Algebraic varieties
N1  - "July 1999, volume 140, number 669 (third of 4 numbers)."; Includes bibliographical references (p. 151-153) and index; 1. Introduction and statement of results; 2. Glossary of notation and conventions; 3. Gorenstein del Pezzo surfaces; 4. Bug-eyed covers; 5. Log deformation theory; 6. Criteria for log uniruledness; 7. Reduction to $\pi ^{\mathrm {alg}}_1(S^0) = \{1\}$; 8. Flushness and preparation for the hunt; 9. Bogomolov bound; 10. Riemann Roch and surfaces with small coefficient; 11. A partial classification of $K_T$-contractions; 12. The linear system $|K_S + A|$; 13. Classification of bananas and fences; 14. $T_1$ a net; 15. $g(A_1) > 1$; 16. $A_1$ has a simple cusp; 17. $A_1$ has a simple node; 18. $A_1$ smooth; 19. The smooth banana; 20. Proof of (1.1) and corollaries; 21. A surface with $\pi ^{\mathrm {alg}}_1(S^0) = \{1\}$ but no tiger; 22. Tigers, complements and toric pairs; 23. Classification of all but a bounded family of rank one log del Pezzo surfaces; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012
UR  - http://www.ams.org/memo/0669
UR  - http://dx.doi.org/10.1090/memo/0669
ER  -