Lectures on Curves on an Algebraic Surface. (AM-59), Volume 59
Princeton University Press (Verlag)
978-0-691-07993-6 (ISBN)
*Frontmatter, pg. i*INTRODUCTION, pg. vii*CONTENTS, pg. xi*LECTURE 1. RAW MATERIAL ON CURVES ON SURFACES, AND THE PROBLEMS SUGGESTED, pg. 1*LECTURE 2. THE FUNDAMENTAL EXISTENCE PROBLEM AND TWO ANALYTIC PROOFS, pg. 7*LECTURE 3. PRE-SCHEMES AND THEIR ASSOCIATED "FUNCTOR OF POINTS", pg. 11*LECTURE 4. USES OF THE FUNCTOR OF POINTS, pg. 17*APPENDIX TO LECTURE 4. RE REPRESENTABLE FUNCTORS AND ZARISKI TANGENT SPACES, pg. 25*LECTURE 5. Pro j AND INVERTIBLE SHEAVES, pg. 27*APPENDIX TO LECTURE 5, pg. 35*LECTURE 6. PROPERTIES OP MORPHISMS AND SHEAVES, pg. 37*LECTURE 7. RESUME OF THE COHOMOLOGY OF COHERENT SHEAVES ON Pn, pg. 47*LECTURE 8. FLATTENING STRATIFICATIONS, pg. 55*LECTURE 9. CARTIER DIVISORS, pg. 61*LECTURE 10. FUNCTORIAL PROPERTIES OF EFFECTIVE CARTIER DIVISORS, pg. 69*LECTURE 11. BACK TO THE CLASSICAL CASE, pg. 75*LECTURE 12. THE OVER-ALL CLASSIFICATION OF CURVES ON SURFACES, pg. 83*LECTURE 13. LINEAR SYSTEMS AND EXAMPLES, pg. 91*LECTURE 14. SOME VANISHING THEOREMS, pg. 99*LECTURE 15. UNIVERSAL FAMILIES OF CURVES, pg. 105*LECTURE 16. THE METHOD OF CHOW SCHEMES, pg. 111*LECTURE 17. GOOD CURVES, pg. 119*LECTURE 18. THE INDEX THEOREM, pg. 127*LECTURE 19. THE PICARD SCHEME : OUTLINE, pg. 133*LECTURE 20. INDEPENDENT 0-CYCLES ON A SURFACE, pg. 139*LECTURE 21. THE PICARD SCHEME: CONCLUSION, pg. 145*LECTURE 22. THE CHARACTERISTIC MAP OP A FAMILY OP CURVES, pg. 151*LECTURE 23. THE FUNDAMENTAL THEOREM VIA KODAIRA-SPENCER, pg. 157*LECTURE 24. THE STRUCTURE OF PHI, pg. 161*LECTURE 25. THE FUNDAMENTAL THEOREM VIA GROTHENDIECK-CARTIER, pg. 167*LECTURE 26. RING SCHEMES; THE WITT SCHEME, pg. 171*APPENDICES TO LECTURE 26 APPENDICES TO LECTURE 26, pg. 189*LECTURE 27. THE FUNDAMENTAL THEOREM IN CHARACTERISTIC p, pg. 193*WORKS REFERRED TO, pg. 199*Backmatter, pg. 204
Erscheint lt. Verlag | 21.8.1966 |
---|---|
Reihe/Serie | Annals of Mathematics Studies |
Verlagsort | New Jersey |
Sprache | englisch |
Maße | 152 x 229 mm |
Gewicht | 312 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
ISBN-10 | 0-691-07993-5 / 0691079935 |
ISBN-13 | 978-0-691-07993-6 / 9780691079936 |
Zustand | Neuware |
Haben Sie eine Frage zum Produkt? |
aus dem Bereich