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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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Order-Preserving Maps and Integration Processes. (AM-31), Volume 31 / / Edward J. McShane
| Order-Preserving Maps and Integration Processes. (AM-31), Volume 31 / / Edward J. McShane |
| Autore | McShane Edward J. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (148 pages) |
| Disciplina | 512.86 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Group theory
Integrals |
| Soggetto non controllato |
Abelian group
Addition Axiom Baire function Banach space Big O notation Binary operation Binary relation Borel set Bounded function Cartesian product Characteristic function (probability theory) Circumference Closure (mathematics) Coefficient Combination Commutative algebra Compact space Complete lattice Continuous function (set theory) Continuous function Contradiction Corollary Coset Countable set Directed set Domain of a function Elementary function Empty set Equation Equivalence class Estimation Existential quantification Finite set Fubini's theorem Hilbert space I0 Infimum and supremum Integer L-function Lattice (order) Lebesgue integration Limit (mathematics) Limit superior and limit inferior Linear map Measure (mathematics) Monotonic function Natural number Order of operations Parity (mathematics) Partially ordered group Partially ordered set Pointwise convergence Pointwise Polynomial Projection (linear algebra) Quadratic function Real number Requirement Riemann integral Riemann–Stieltjes integral Scalar multiplication Scientific notation Self-adjoint operator Set (mathematics) Set function Sign (mathematics) Special case Subset Subtraction Summation Theorem Unification (computer science) Upper and lower bounds |
| ISBN | 1-4008-8230-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- INTRODUCTION -- CHAPTER I. PARTIALLY ORDERED SETS AND SYSTEMS -- CHAPTER II. DEFINITION OF THE MAPPING -- CHAPTER III. LATTICE PROPERTIES, CONVERGENCE AND MEASURABILITY -- CHAPTER IV. ALGEBRAIC OPERATIONS -- CHAPTER V. REAL-VALUED FUNCTIONS -- CHAPTER VI. APPLICATIONS -- BIBLIOGRAPHY -- Backmatter |
| Record Nr. | UNINA-9910154751203321 |
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McShane Edward J.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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