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Lectures on Curves on an Algebraic Surface. (AM-59), Volume 59 / / David Mumford
| Lectures on Curves on an Algebraic Surface. (AM-59), Volume 59 / / David Mumford |
| Autore | Mumford David |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (221 pages) |
| Disciplina | 516.5 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Curves, Algebraic
Surfaces, Algebraic |
| Soggetto non controllato |
Affine space
Algebraic geometry Algebraic topology Algebraically closed field Binary operation Chern class Coherent sheaf Cohomology Complex vector bundle Dense set Differential form Direct product Family of curves Formal power series Functor Generic point Group ring Homomorphism Invertible sheaf Local ring Morphism of schemes Morphism Nonlinear system Open set Pairwise Polynomial Power series Projective space Rational function Rational point Sheaf (mathematics) Subring Summation Symmetric function Topology Union (set theory) Zariski topology Zero divisor |
| ISBN | 1-4008-8206-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- INTRODUCTION -- CONTENTS -- LECTURE 1. RAW MATERIAL ON CURVES ON SURFACES, AND THE PROBLEMS SUGGESTED -- LECTURE 2. THE FUNDAMENTAL EXISTENCE PROBLEM AND TWO ANALYTIC PROOFS -- LECTURE 3. PRE-SCHEMES AND THEIR ASSOCIATED "FUNCTOR OF POINTS" -- LECTURE 4. USES OF THE FUNCTOR OF POINTS -- APPENDIX TO LECTURE 4. RE REPRESENTABLE FUNCTORS AND ZARISKI TANGENT SPACES -- LECTURE 5. Pro j AND INVERTIBLE SHEAVES -- APPENDIX TO LECTURE 5 -- LECTURE 6. PROPERTIES OP MORPHISMS AND SHEAVES -- LECTURE 7. RESUME OF THE COHOMOLOGY OF COHERENT SHEAVES ON Pn -- LECTURE 8. FLATTENING STRATIFICATIONS -- LECTURE 9. CARTIER DIVISORS -- LECTURE 10. FUNCTORIAL PROPERTIES OF EFFECTIVE CARTIER DIVISORS -- LECTURE 11. BACK TO THE CLASSICAL CASE -- LECTURE 12. THE OVER-ALL CLASSIFICATION OF CURVES ON SURFACES -- LECTURE 13. LINEAR SYSTEMS AND EXAMPLES -- LECTURE 14. SOME VANISHING THEOREMS -- LECTURE 15. UNIVERSAL FAMILIES OF CURVES -- LECTURE 16. THE METHOD OF CHOW SCHEMES -- LECTURE 17. GOOD CURVES -- LECTURE 18. THE INDEX THEOREM -- LECTURE 19. THE PICARD SCHEME : OUTLINE -- LECTURE 20. INDEPENDENT 0-CYCLES ON A SURFACE -- LECTURE 21. THE PICARD SCHEME: CONCLUSION -- LECTURE 22. THE CHARACTERISTIC MAP OP A FAMILY OP CURVES -- LECTURE 23. THE FUNDAMENTAL THEOREM VIA KODAIRA-SPENCER -- LECTURE 24. THE STRUCTURE OF Φ -- LECTURE 25. THE FUNDAMENTAL THEOREM VIA GROTHENDIECK-CARTIER -- LECTURE 26. RING SCHEMES; THE WITT SCHEME -- APPENDICES TO LECTURE 26 APPENDICES TO LECTURE 26 -- LECTURE 27. THE FUNDAMENTAL THEOREM IN CHARACTERISTIC p -- WORKS REFERRED TO -- Backmatter |
| Record Nr. | UNINA-9910154747503321 |
Mumford David
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Topological Methods in the Theory of Functions of a Complex Variable. (AM-15), Volume 15 / / Marston Morse
| Topological Methods in the Theory of Functions of a Complex Variable. (AM-15), Volume 15 / / Marston Morse |
| Autore | Morse Marston |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (153 pages) : illustrations |
| Disciplina | 517.5 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Functions of complex variables
Topology |
| Soggetto non controllato |
0O
0Q Absolute value Addition Additive group Admissible representation Arc (geometry) Arc length Bernhard Riemann Big O notation Boundary (topology) Boundary value problem Branch point Canonical form Cartesian coordinate system Central angle Clockwise Compact space Concentric Conformal map Continuous function Contour line Convex set Corollary Countable set Critical value Curve Deformation theory Diameter Euclidean vector Euler characteristic Existential quantification Family of curves Finitary Finite set Function (mathematics) Harmonic function Homeomorphism Homotopy Inference Integer Interior (topology) Intersection (set theory) Isolated point Jordan curve theorem Length Limit point Maxima and minima Maximal arc Meromorphic function Metric space Minimum distance Normal family Parameter Parametrization Partial derivative Picard theorem Point at infinity Polar coordinate system Polynomial Quantity Rado's theorem (Ramsey theory) Real variable Rectangle Remainder Riemann surface Rigid body Saddle point Sequence Set (mathematics) Similarity (geometry) Simply connected space Special case Subset Summation Theorem Theory Topological property Topology Unit circle Unit vector Without loss of generality |
| ISBN | 1-4008-8234-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Foreword -- Table of Contents -- Chapter I. Pseudo-Harmonic Functions -- Chapter II. Differentiable Boundary Values -- Chapter III. Interior Transformations -- Chapter IV. The General Order Theorem -- Chapter V. Deformations of Locally Simple Curves and of Interior Transformations -- References -- Glossary |
| Record Nr. | UNINA-9910154742503321 |
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Morse Marston
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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