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Lectures on curves on an algebraic surface.

Author: Mumford.
Publisher: [Place of publication not identified] : Princeton Univ Press
Edition/Format:   Print book : English
Database:WorldCat
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Document Type: Book
All Authors / Contributors: Mumford.
ISBN: 0691079935 9780691079936
OCLC Number: 171541070
Description: pages
Contents: Frontmatter, pg. iINTRODUCTION, pg. viiCONTENTS, pg. xiLECTURE 1. RAW MATERIAL ON CURVES ON SURFACES, AND THE PROBLEMS SUGGESTED, pg. 1LECTURE 2. THE FUNDAMENTAL EXISTENCE PROBLEM AND TWO ANALYTIC PROOFS, pg. 7LECTURE 3. PRE-SCHEMES AND THEIR ASSOCIATED "FUNCTOR OF POINTS", pg. 11LECTURE 4. USES OF THE FUNCTOR OF POINTS, pg. 17APPENDIX TO LECTURE 4. RE REPRESENTABLE FUNCTORS AND ZARISKI TANGENT SPACES, pg. 25LECTURE 5. Pro j AND INVERTIBLE SHEAVES, pg. 27APPENDIX TO LECTURE 5, pg. 35LECTURE 6. PROPERTIES OP MORPHISMS AND SHEAVES, pg. 37LECTURE 7. RESUME OF THE COHOMOLOGY OF COHERENT SHEAVES ON Pn, pg. 47LECTURE 8. FLATTENING STRATIFICATIONS, pg. 55LECTURE 9. CARTIER DIVISORS, pg. 61LECTURE 10. FUNCTORIAL PROPERTIES OF EFFECTIVE CARTIER DIVISORS, pg. 69LECTURE 11. BACK TO THE CLASSICAL CASE, pg. 75LECTURE 12. THE OVER-ALL CLASSIFICATION OF CURVES ON SURFACES, pg. 83LECTURE 13. LINEAR SYSTEMS AND EXAMPLES, pg. 91LECTURE 14. SOME VANISHING THEOREMS, pg. 99LECTURE 15. UNIVERSAL FAMILIES OF CURVES, pg. 105LECTURE 16. THE METHOD OF CHOW SCHEMES, pg. 111LECTURE 17. GOOD CURVES, pg. 119LECTURE 18. THE INDEX THEOREM, pg. 127LECTURE 19. THE PICARD SCHEME : OUTLINE, pg. 133LECTURE 20. INDEPENDENT 0-CYCLES ON A SURFACE, pg. 139LECTURE 21. THE PICARD SCHEME: CONCLUSION, pg. 145LECTURE 22. THE CHARACTERISTIC MAP OP A FAMILY OP CURVES, pg. 151LECTURE 23. THE FUNDAMENTAL THEOREM VIA KODAIRA-SPENCER, pg. 157LECTURE 24. THE STRUCTURE OF Φ, pg. 161LECTURE 25. THE FUNDAMENTAL THEOREM VIA GROTHENDIECK-CARTIER, pg. 167LECTURE 26. RING SCHEMES; THE WITT SCHEME, pg. 171APPENDICES TO LECTURE 26 APPENDICES TO LECTURE 26, pg. 189LECTURE 27. THE FUNDAMENTAL THEOREM IN CHARACTERISTIC p, pg. 193WORKS REFERRED TO, pg. 199Backmatter, pg. 204

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