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Rational curves on quasi-projective surfaces / [electronic resource] Se�an Keel, James McKernan.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 669Publication details: Providence, R.I. : American Mathematical Society, c1999.Description: 1 online resource (viii, 153 p. : ill.)ISBN:
  • 9781470402600 (online)
Subject(s): Additional physical formats: Rational curves on quasi-projective surfaces /DDC classification:
  • 510 s 516.3/52 21
LOC classification:
  • QA3 .A57 no. 669 QA573
Online resources:
Contents:
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
Item type: E-BOOKS
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IMSc Library Link to resource Available EBK13122

"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

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

Description based on print version record.

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The Institute of Mathematical Sciences, Chennai, India