Lectures on Curves on an Algebraic Surface

AvDavid Mumford

Häftad, Engelska, 1966

Del i serien Annals of Mathematics Studies

832 kr

Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt över 249 kr.

Fler format och utgåvor

E-bok

1 144 kr

Beskrivning

These lectures, delivered by Professor Mumford at Harvard in 1963-1964, are devoted to a study of properties of families of algebraic curves, on a non-singular projective algebraic curve defined over an algebraically closed field of arbitrary characteristic. The methods and techniques of Grothendieck, which have so changed the character of algebraic geometry in recent years, are used systematically throughout. Thus the classical material is presented from a new viewpoint.

Produktinformation

Utgivningsdatum:1966-08-21
Mått:152 x 229 x 18 mm
Vikt:331 g
Format:Häftad
Språk:Engelska
Serie:Annals of Mathematics Studies
Antal sidor:212
Förlag:Princeton University Press
ISBN:9780691079936

Utforska kategorier

Algebra inom Naturvetenskap och teknik

Innehållsförteckning

*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

Mer från samma författare

Indra's Pearls

David Mumford, Caroline Series, David Wright

Inbunden, 2002

(1)

1 221 kr

Selected Papers I

David Mumford

Häftad, 2019

721 kr

Two- and Three-Dimensional Patterns of the Face

Peter W. Hallinan, Gaile Gordon, A. L. Yuille, Peter Giblin, David Mumford

Häftad, 2019

967 kr

Indra's Pearls

David Wright, Caroline Series, David Mumford

E-bok

2002

670 kr

Smooth Compactifications of Locally Symmetric Varieties

Avner Ash, David Mumford, Michael Rapoport, Yung-sheng Tai

Häftad, 2010

987 kr

Tata Lectures on Theta II

David Mumford

Häftad, 2006

996 kr

Tata Lectures on Theta I

David Mumford

Häftad, 2006

1 216 kr

Tata Lectures on Theta I

David Mumford

E-bok

2007

1 587 kr

Tata Lectures on Theta II

David Mumford

E-bok

2012

1 268 kr

Pattern Theory

David Mumford, Agnès Desolneux

Häftad, 2024

724 kr

Mer från samma serie

Calculi of Lambda-Conversion

Alonzo Church

Häftad, 1985

563 kr

Introductory Lectures on Equivariant Cohomology

Loring W. Tu

Häftad, 2020

835 kr

Weil's Conjecture for Function Fields

Dennis Gaitsgory, Jacob Lurie

Häftad, 2019

835 kr

Entire Holomorphic Mappings in One and Several Complex Variables

Phillip A. Griffiths

Häftad, 1976

672 kr

Topics in Transcendental Algebraic Geometry

Phillip A. Griffiths

Häftad, 1984

1 244 kr

Morse Theory

John Milnor

Häftad, 1963

(1)

807 kr

Introduction to Toric Varieties

William Fulton

Häftad, 1993

832 kr

Commensurabilities among Lattices in PU (1,n)

Pierre R. Deligne, George Daniel Mostow

Häftad, 1993

933 kr

Real Fatou Conjecture

Jacek Graczyk, Grzegorz Swiatek

Häftad, 1998

722 kr

Rigid Local Systems

Nicholas M. Katz

Häftad, 1995

975 kr

Du kanske också är intresserad av

Indra's Pearls

David Mumford, Caroline Series, David Wright

Inbunden, 2002

(1)

1 221 kr