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Arithmetic theory of elliptic curves : lectures given at the 3. session of the Centro internazionale matematico estivo (C.I.M.E.), held in Cetraro, Italy, July 12-19, 1997 / J. Coates ... [et al.] ; C. Viola editor
| Arithmetic theory of elliptic curves : lectures given at the 3. session of the Centro internazionale matematico estivo (C.I.M.E.), held in Cetraro, Italy, July 12-19, 1997 / J. Coates ... [et al.] ; C. Viola editor |
| Pubbl/distr/stampa | Berlin, : Springer, 1999 |
| Descrizione fisica | CIII, 260 p. ; 24 cm |
| Soggetto topico |
11-XX - Number theory [MSC 2020]
14-XX - Algebraic geometry [MSC 2020] 00B25 - Proceedings of conferences of miscellaneous specific interest [MSC 2020] 14H52 - Elliptic curves [MSC 2020] 11G05 - Elliptic curves over global fields [MSC 2020] 11R23 - Iwasawa theory [MSC 2020] |
| Soggetto non controllato |
Arithmetic
Birch and Swinnerton-Dyer conjecture Complex multiplication Elliptic curves Iwasawa theory Modular curves Multiplication Presentation Volume ℓ ²-torsion |
| ISBN | 978-35-406-6546-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0055348 |
| Berlin, : Springer, 1999 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Arithmetic theory of elliptic curves : lectures given at the 3. session of the Centro internazionale matematico estivo (C.I.M.E.), held in Cetraro, Italy, July 12-19, 1997 / J. Coates ... [et al.] ; C. Viola editor
| Arithmetic theory of elliptic curves : lectures given at the 3. session of the Centro internazionale matematico estivo (C.I.M.E.), held in Cetraro, Italy, July 12-19, 1997 / J. Coates ... [et al.] ; C. Viola editor |
| Pubbl/distr/stampa | Berlin, : Springer, 1999 |
| Descrizione fisica | CIII, 260 p. ; 24 cm |
| Soggetto topico |
00B25 - Proceedings of conferences of miscellaneous specific interest [MSC 2020]
11-XX - Number theory [MSC 2020] 11G05 - Elliptic curves over global fields [MSC 2020] 11R23 - Iwasawa theory [MSC 2020] 14-XX - Algebraic geometry [MSC 2020] 14H52 - Elliptic curves [MSC 2020] |
| Soggetto non controllato |
Arithmetic
Birch and Swinnerton-Dyer conjecture Complex multiplication Elliptic curves Iwasawa theory Modular curves Multiplication Presentation Volume ℓ ²-torsion |
| ISBN | 978-35-406-6546-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00055348 |
| Berlin, : Springer, 1999 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Euler systems / / by Karl Rubin
| Euler systems / / by Karl Rubin |
| Autore | Rubin Karl |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Chichester, England : , : Princeton University Press, , 2000 |
| Descrizione fisica | 1 online resource (241 p.) |
| Disciplina | 512/.74 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Algebraic number theory
p-adic numbers |
| Soggetto non controllato |
Abelian extension
Abelian variety Absolute Galois group Algebraic closure Barry Mazur Big O notation Birch and Swinnerton-Dyer conjecture Cardinality Class field theory Coefficient Cohomology Complex multiplication Conjecture Corollary Cyclotomic field Dimension (vector space) Divisibility rule Eigenvalues and eigenvectors Elliptic curve Error term Euler product Euler system Exact sequence Existential quantification Field of fractions Finite set Functional equation Galois cohomology Galois group Galois module Gauss sum Global field Heegner point Ideal class group Integer Inverse limit Inverse system Karl Rubin Local field Mathematical induction Maximal ideal Modular curve Modular elliptic curve Natural number Orthogonality P-adic number Pairing Principal ideal R-factor (crystallography) Ralph Greenberg Remainder Residue field Ring of integers Scientific notation Selmer group Subgroup Tate module Taylor series Tensor product Theorem Upper and lower bounds Victor Kolyvagin |
| ISBN |
0-691-05075-9
1-4008-6520-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Acknowledgments / Rubin, Karl -- Introduction -- Chapter 1. Galois Cohomology of p-adic Representations -- Chapter 2. Euler Systems: Definition and Main Results -- Chapter 3. Examples and Applications -- Chapter 4. Derived Cohomology Classes -- Chapter 5. Bounding the Selmer Group -- Chapter 6. Twisting -- Chapter 7. Iwasawa Theory -- Chapter 8. Euler Systems and p-adic L-functions -- Chapter 9. Variants -- Appendix A. Linear Algebra -- Appendix B. Continuous Cohomology and Inverse Limits -- Appendix C. Cohomology of p-adic Analytic Groups -- Appendix D. p-adic Calculations in Cyclotomic Fields -- Bibliography -- Index of Symbols -- Subject Index |
| Record Nr. | UNINA-9910786510103321 |
Rubin Karl
|
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| Princeton, New Jersey ; ; Chichester, England : , : Princeton University Press, , 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Euler systems / / by Karl Rubin
| Euler systems / / by Karl Rubin |
| Autore | Rubin Karl |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Chichester, England : , : Princeton University Press, , 2000 |
| Descrizione fisica | 1 online resource (241 p.) |
| Disciplina | 512/.74 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Algebraic number theory
p-adic numbers |
| Soggetto non controllato |
Abelian extension
Abelian variety Absolute Galois group Algebraic closure Barry Mazur Big O notation Birch and Swinnerton-Dyer conjecture Cardinality Class field theory Coefficient Cohomology Complex multiplication Conjecture Corollary Cyclotomic field Dimension (vector space) Divisibility rule Eigenvalues and eigenvectors Elliptic curve Error term Euler product Euler system Exact sequence Existential quantification Field of fractions Finite set Functional equation Galois cohomology Galois group Galois module Gauss sum Global field Heegner point Ideal class group Integer Inverse limit Inverse system Karl Rubin Local field Mathematical induction Maximal ideal Modular curve Modular elliptic curve Natural number Orthogonality P-adic number Pairing Principal ideal R-factor (crystallography) Ralph Greenberg Remainder Residue field Ring of integers Scientific notation Selmer group Subgroup Tate module Taylor series Tensor product Theorem Upper and lower bounds Victor Kolyvagin |
| ISBN |
0-691-05075-9
1-4008-6520-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Acknowledgments / Rubin, Karl -- Introduction -- Chapter 1. Galois Cohomology of p-adic Representations -- Chapter 2. Euler Systems: Definition and Main Results -- Chapter 3. Examples and Applications -- Chapter 4. Derived Cohomology Classes -- Chapter 5. Bounding the Selmer Group -- Chapter 6. Twisting -- Chapter 7. Iwasawa Theory -- Chapter 8. Euler Systems and p-adic L-functions -- Chapter 9. Variants -- Appendix A. Linear Algebra -- Appendix B. Continuous Cohomology and Inverse Limits -- Appendix C. Cohomology of p-adic Analytic Groups -- Appendix D. p-adic Calculations in Cyclotomic Fields -- Bibliography -- Index of Symbols -- Subject Index |
| Record Nr. | UNINA-9910816804403321 |
|
Rubin Karl
|
||
| Princeton, New Jersey ; ; Chichester, England : , : Princeton University Press, , 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Computational and Theoretical Aspects of Elliptic Curves / Zhibin Liang, Chandrakant Aribam editors
| The Computational and Theoretical Aspects of Elliptic Curves / Zhibin Liang, Chandrakant Aribam editors |
| Pubbl/distr/stampa | Singapore, : Springer, : Beijing International Center for Mathematical Research, 2019 |
| Descrizione fisica | vii, 95 p. ; 24 cm |
| Soggetto topico |
11-XX - Number theory [MSC 2020]
11Y40 - Algebraic number theory computations [MSC 2020] 00B25 - Proceedings of conferences of miscellaneous specific interest [MSC 2020] 11Gxx - Arithmetic algebraic geometry (Diophantine geometry) [MSC 2020] |
| Soggetto non controllato |
Birch and Swinnerton-Dyer conjecture
Elliptic curves GLV method Generic Sturm sequence Quaternion group Subresultant sequence Sylvester resultant Tame kernels Weil restriction |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0127387 |
| Singapore, : Springer, : Beijing International Center for Mathematical Research, 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
The Computational and Theoretical Aspects of Elliptic Curves / Zhibin Liang, Chandrakant Aribam editors
| The Computational and Theoretical Aspects of Elliptic Curves / Zhibin Liang, Chandrakant Aribam editors |
| Pubbl/distr/stampa | Singapore, : Springer, : Beijing International Center for Mathematical Research, 2019 |
| Descrizione fisica | vii, 95 p. ; 24 cm |
| Soggetto topico |
00B25 - Proceedings of conferences of miscellaneous specific interest [MSC 2020]
11-XX - Number theory [MSC 2020] 11Gxx - Arithmetic algebraic geometry (Diophantine geometry) [MSC 2020] 11Y40 - Algebraic number theory computations [MSC 2020] |
| Soggetto non controllato |
Birch and Swinnerton-Dyer conjecture
Elliptic curves GLV method Generic Sturm sequence Quaternion group Subresultant sequence Sylvester resultant Tame kernels Weil restriction |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00127387 |
| Singapore, : Springer, : Beijing International Center for Mathematical Research, 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Twisted L-functions and monodromy [[electronic resource] /] / by Nicholas M. Katz
| Twisted L-functions and monodromy [[electronic resource] /] / by Nicholas M. Katz |
| Autore | Katz Nicholas M. <1943-> |
| Edizione | [Core Textbook] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, 2002 |
| Descrizione fisica | 1 online resource (258 p.) |
| Disciplina | 512/.74 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
L-functions
Monodromy groups |
| Soggetto non controllato |
Abelian variety
Absolute continuity Addition Affine space Algebraically closed field Ambient space Average Betti number Birch and Swinnerton-Dyer conjecture Blowing up Codimension Coefficient Computation Conjecture Conjugacy class Convolution Critical value Differential geometry of surfaces Dimension (vector space) Dimension Direct sum Divisor (algebraic geometry) Divisor Eigenvalues and eigenvectors Elliptic curve Equation Equidistribution theorem Existential quantification Factorization Finite field Finite group Finite set Flat map Fourier transform Function field Functional equation Goursat's lemma Ground field Group representation Hyperplane Hypersurface Integer matrix Integer Irreducible component Irreducible polynomial Irreducible representation J-invariant K3 surface L-function Lebesgue measure Lefschetz pencil Level of measurement Lie algebra Limit superior and limit inferior Minimal polynomial (field theory) Modular form Monodromy Morphism Numerical analysis Orthogonal group Percentage Polynomial Prime number Probability measure Quadratic function Quantity Quotient space (topology) Representation theory Residue field Riemann hypothesis Root of unity Scalar (physics) Set (mathematics) Sheaf (mathematics) Subgroup Summation Symmetric group System of imprimitivity Theorem Trivial representation Zariski topology |
| ISBN |
1-282-82089-3
9786612820892 1-4008-2488-5 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | pt. 1. Background material -- pt. 2. Twist sheaves, over an algebraically closed field -- pt. 3. Twist sheaves, over a finite field -- pt. 4. Twist sheaves over schemes of finite type over Z. |
| Record Nr. | UNINA-9910785573203321 |
|
Katz Nicholas M. <1943->
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| Princeton, : Princeton University Press, 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||