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Rational Curves on QuasiProjective Surfaces
eBook ISBN:  9781470402600 
Product Code:  MEMO/140/669.E 
List Price:  $54.00 
MAA Member Price:  $48.60 
AMS Member Price:  $32.40 
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Rational Curves on QuasiProjective Surfaces
eBook ISBN:  9781470402600 
Product Code:  MEMO/140/669.E 
List Price:  $54.00 
MAA Member Price:  $48.60 
AMS Member Price:  $32.40 

Book DetailsMemoirs of the American Mathematical SocietyVolume: 140; 1999; 153 ppMSC: Primary 14Readership
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. Bugeyed 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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 Book Details
 Table of Contents
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Volume: 140; 1999; 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. Bugeyed 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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