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Rational Curves on Quasi-Projective Surfaces
 
Seán Keel University of Texas, Austin, TX
James M$^{\textrm {c}}$Kernan University of California, Santa Barbara, CA
Rational Curves on Quasi-Projective Surfaces
eBook ISBN:  978-1-4704-0260-0
Product Code:  MEMO/140/669.E
List Price: $54.00
MAA Member Price: $48.60
AMS Member Price: $32.40
Rational Curves on Quasi-Projective Surfaces
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Rational Curves on Quasi-Projective Surfaces
Seán Keel University of Texas, Austin, TX
James M$^{\textrm {c}}$Kernan University of California, Santa Barbara, CA
eBook ISBN:  978-1-4704-0260-0
Product Code:  MEMO/140/669.E
List Price: $54.00
MAA Member Price: $48.60
AMS Member Price: $32.40
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 1401999; 153 pp
    MSC: Primary 14;
    Readership

    Graduate students and research mathematicians working in algebraic geometry.

  • Table of Contents
     
     
    • Chapters
    • 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1401999; 153 pp
MSC: Primary 14;
Readership

Graduate students and research mathematicians working in algebraic geometry.

  • Chapters
  • 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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.