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Hilbert modular forms : mod p and p-adic aspects / / F. Andreatta, E.Z. Goren
| Hilbert modular forms : mod p and p-adic aspects / / F. Andreatta, E.Z. Goren |
| Autore | Andreatta F (Fabrizio), <1972-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
| Descrizione fisica | 1 online resource (114 p.) |
| Disciplina |
510 s
516.3/5 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Arithmetical algebraic geometry
Hilbert modular surfaces Forms, Modular Moduli theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0420-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""1. Introduction""; ""2. Notations""; ""3. Moduli spaces of abelian varieties with real multiplication""; ""4. Properties of G""; ""5. Hilbert modular forms""; ""6. The q-expansion map""; ""7. The partial Hasse invariants""; ""8. Reduceness of the partial Hasse invariants""; ""9. A compactification of m(k, Î?[sub(pN)])[sup(Kum)]""; ""10. Congruences mod p[sup(n)] and Serre's p-adic modular forms""; ""11. Katz's p-adic Hilbert modular forms""; ""12. The operators Î?[sub(B,i)]""; ""13. The operator V""; ""14. The operator U""; ""15. Applications to filtrations of modular forms""
""16. Theta cycles and parallel filtration (inert case)""""17. Functorialities""; ""18. Integrality and congruences for values of zeta functions""; ""19. Numerical examples""; ""20. Comments regarding values of zeta functions""; ""21. References"" |
| Record Nr. | UNINA-9910480515803321 |
Andreatta F (Fabrizio), <1972->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Hilbert modular forms : mod p and p-adic aspects / / F. Andreatta, E.Z. Goren
| Hilbert modular forms : mod p and p-adic aspects / / F. Andreatta, E.Z. Goren |
| Autore | Andreatta F (Fabrizio), <1972-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
| Descrizione fisica | 1 online resource (114 p.) |
| Disciplina |
510 s
516.3/5 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Arithmetical algebraic geometry
Hilbert modular surfaces Forms, Modular Moduli theory |
| ISBN | 1-4704-0420-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""1. Introduction""; ""2. Notations""; ""3. Moduli spaces of abelian varieties with real multiplication""; ""4. Properties of G""; ""5. Hilbert modular forms""; ""6. The q-expansion map""; ""7. The partial Hasse invariants""; ""8. Reduceness of the partial Hasse invariants""; ""9. A compactification of m(k, Î?[sub(pN)])[sup(Kum)]""; ""10. Congruences mod p[sup(n)] and Serre's p-adic modular forms""; ""11. Katz's p-adic Hilbert modular forms""; ""12. The operators Î?[sub(B,i)]""; ""13. The operator V""; ""14. The operator U""; ""15. Applications to filtrations of modular forms""
""16. Theta cycles and parallel filtration (inert case)""""17. Functorialities""; ""18. Integrality and congruences for values of zeta functions""; ""19. Numerical examples""; ""20. Comments regarding values of zeta functions""; ""21. References"" |
| Record Nr. | UNINA-9910788748203321 |
|
Andreatta F (Fabrizio), <1972->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Hilbert modular forms : mod p and p-adic aspects / / F. Andreatta, E.Z. Goren
| Hilbert modular forms : mod p and p-adic aspects / / F. Andreatta, E.Z. Goren |
| Autore | Andreatta F (Fabrizio), <1972-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
| Descrizione fisica | 1 online resource (114 p.) |
| Disciplina |
510 s
516.3/5 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Arithmetical algebraic geometry
Hilbert modular surfaces Forms, Modular Moduli theory |
| ISBN | 1-4704-0420-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""1. Introduction""; ""2. Notations""; ""3. Moduli spaces of abelian varieties with real multiplication""; ""4. Properties of G""; ""5. Hilbert modular forms""; ""6. The q-expansion map""; ""7. The partial Hasse invariants""; ""8. Reduceness of the partial Hasse invariants""; ""9. A compactification of m(k, Î?[sub(pN)])[sup(Kum)]""; ""10. Congruences mod p[sup(n)] and Serre's p-adic modular forms""; ""11. Katz's p-adic Hilbert modular forms""; ""12. The operators Î?[sub(B,i)]""; ""13. The operator V""; ""14. The operator U""; ""15. Applications to filtrations of modular forms""
""16. Theta cycles and parallel filtration (inert case)""""17. Functorialities""; ""18. Integrality and congruences for values of zeta functions""; ""19. Numerical examples""; ""20. Comments regarding values of zeta functions""; ""21. References"" |
| Record Nr. | UNINA-9910829180803321 |
|
Andreatta F (Fabrizio), <1972->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Hilbert modular forms and Iwasawa theory [[electronic resource] /] / Haruzo Hida
| Hilbert modular forms and Iwasawa theory [[electronic resource] /] / Haruzo Hida |
| Autore | Hida Haruzo |
| Pubbl/distr/stampa | Oxford, : Clarendon, 2006 |
| Descrizione fisica | 1 online resource (417 p.) |
| Disciplina | 512.74 |
| Collana | Oxford mathematical monographs |
| Soggetto topico |
Forms, Modular
Hilbert modular surfaces Iwasawa theory |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-280-90406-2
9786610904068 0-19-151387-3 1-4294-6994-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; 1 Introduction; 1.1 Classical Iwasawa theory; 1.1.1 Galois theoretic interpretation of the class group; 1.1.2 The Iwasawa algebra as a deformation ring; 1.1.3 Pseudo-representations; 1.1.4 Two-dimensional universal deformations; 1.2 Selmer groups; 1.2.1 Deligne's rationality conjecture; 1.2.2 Ordinary Galois representations; 1.2.3 Greenberg's Selmer groups; 1.2.4 Selmer groups with general coefficients; 1.3 Deformation and adjoint square Selmer groups; 1.3.1 Nearly ordinary deformation rings; 1.3.2 Adjoint square Selmer groups and differentials
1.3.3 Universal deformation rings are noetherian1.3.4 Elliptic modularity at a glance; 1.4 Iwasawa theory for deformation rings; 1.4.1 Galois action on deformation rings; 1.4.2 Control of adjoint square Selmer groups; 1.4.3 Λ-adic forms; 1.5 Adjoint square L-invariants; 1.5.1 Balanced Selmer groups; 1.5.2 Greenberg's L-invariant; 1.5.3 Proof of Theorem 1.80; 2 Automorphic forms on inner forms of GL(2); 2.1 Quaternion algebras over a number field; 2.1.1 Quaternion algebras; 2.1.2 Orders of quaternion algebras; 2.2 A short review of algebraic geometry; 2.2.1 Affine schemes 2.2.2 Affine algebraic groups2.2.3 Schemes; 2.3 Automorphic forms on quaternion algebras; 2.3.1 Arithmetic quotients; 2.3.2 Archimedean Hilbert modular forms; 2.3.3 Hilbert modular forms with integral coefficients; 2.3.4 Duality and Hecke algebras; 2.3.5 Quaternionic automorphic forms; 2.3.6 The Jacquet-Langlands correspondence; 2.3.7 Local representations of GL(2); 2.3.8 Modular Galois representations; 2.4 The integral Jacquet-Langlands correspondence; 2.4.1 Classical Hecke operators; 2.4.2 Hecke algebras; 2.4.3 Cohomological correspondences; 2.4.4 Eichler-Shimura isomorphisms 2.5 Theta series2.5.1 Quaternionic theta series; 2.5.2 Siegel's theta series; 2.5.3 Transformation formulas; 2.5.4 Theta series of imaginary quadratic fields; 2.6 The basis problem of Eichler; 2.6.1 The elliptic Jacquet-Langlands correspondence; 2.6.2 Eichler's integral correspondence; 3 Hecke algebras as Galois deformation rings; 3.1 Hecke algebras; 3.1.1 Automorphic forms on definite quaternions; 3.1.2 Hecke operators; 3.1.3 Inner products; 3.1.4 Ordinary Hecke algebras; 3.1.5 Automorphic forms of higher weight; 3.2 Galois deformation; 3.2.1 Minimal deformation problems 3.2.2 Tangent spaces of local deformation functors3.2.3 Taylor-Wiles systems; 3.2.4 Hecke algebras are universal; 3.2.5 Flat deformations; 3.2.6 Freeness over the Hecke algebra; 3.2.7 Hilbert modular basis problems; 3.2.8 Locally cyclotomic deformation; 3.2.9 Locally cyclotomic Hecke algebras; 3.2.10 Global deformation over a p-adic field; 3.3 Base change; 3.3.1 p-Ordinary Jacquet-Langlands correspondence; 3.3.2 Base fields of odd degree; 3.3.3 Automorphic base change; 3.3.4 Galois base change; 3.4 L-invariants of Hilbert modular forms; 3.4.1 Statement of the result 3.4.2 Deformation without monodromy conditions |
| Record Nr. | UNINA-9910465635803321 |
|
Hida Haruzo
|
||
| Oxford, : Clarendon, 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Hilbert modular forms and Iwasawa theory [[electronic resource] /] / Haruzo Hida
| Hilbert modular forms and Iwasawa theory [[electronic resource] /] / Haruzo Hida |
| Autore | Hida Haruzo |
| Pubbl/distr/stampa | Oxford, : Clarendon, 2006 |
| Descrizione fisica | 1 online resource (417 p.) |
| Disciplina | 512.74 |
| Collana | Oxford mathematical monographs |
| Soggetto topico |
Forms, Modular
Hilbert modular surfaces Iwasawa theory |
| ISBN |
1-280-90406-2
9786610904068 0-19-151387-3 1-4294-6994-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; 1 Introduction; 1.1 Classical Iwasawa theory; 1.1.1 Galois theoretic interpretation of the class group; 1.1.2 The Iwasawa algebra as a deformation ring; 1.1.3 Pseudo-representations; 1.1.4 Two-dimensional universal deformations; 1.2 Selmer groups; 1.2.1 Deligne's rationality conjecture; 1.2.2 Ordinary Galois representations; 1.2.3 Greenberg's Selmer groups; 1.2.4 Selmer groups with general coefficients; 1.3 Deformation and adjoint square Selmer groups; 1.3.1 Nearly ordinary deformation rings; 1.3.2 Adjoint square Selmer groups and differentials
1.3.3 Universal deformation rings are noetherian1.3.4 Elliptic modularity at a glance; 1.4 Iwasawa theory for deformation rings; 1.4.1 Galois action on deformation rings; 1.4.2 Control of adjoint square Selmer groups; 1.4.3 Λ-adic forms; 1.5 Adjoint square L-invariants; 1.5.1 Balanced Selmer groups; 1.5.2 Greenberg's L-invariant; 1.5.3 Proof of Theorem 1.80; 2 Automorphic forms on inner forms of GL(2); 2.1 Quaternion algebras over a number field; 2.1.1 Quaternion algebras; 2.1.2 Orders of quaternion algebras; 2.2 A short review of algebraic geometry; 2.2.1 Affine schemes 2.2.2 Affine algebraic groups2.2.3 Schemes; 2.3 Automorphic forms on quaternion algebras; 2.3.1 Arithmetic quotients; 2.3.2 Archimedean Hilbert modular forms; 2.3.3 Hilbert modular forms with integral coefficients; 2.3.4 Duality and Hecke algebras; 2.3.5 Quaternionic automorphic forms; 2.3.6 The Jacquet-Langlands correspondence; 2.3.7 Local representations of GL(2); 2.3.8 Modular Galois representations; 2.4 The integral Jacquet-Langlands correspondence; 2.4.1 Classical Hecke operators; 2.4.2 Hecke algebras; 2.4.3 Cohomological correspondences; 2.4.4 Eichler-Shimura isomorphisms 2.5 Theta series2.5.1 Quaternionic theta series; 2.5.2 Siegel's theta series; 2.5.3 Transformation formulas; 2.5.4 Theta series of imaginary quadratic fields; 2.6 The basis problem of Eichler; 2.6.1 The elliptic Jacquet-Langlands correspondence; 2.6.2 Eichler's integral correspondence; 3 Hecke algebras as Galois deformation rings; 3.1 Hecke algebras; 3.1.1 Automorphic forms on definite quaternions; 3.1.2 Hecke operators; 3.1.3 Inner products; 3.1.4 Ordinary Hecke algebras; 3.1.5 Automorphic forms of higher weight; 3.2 Galois deformation; 3.2.1 Minimal deformation problems 3.2.2 Tangent spaces of local deformation functors3.2.3 Taylor-Wiles systems; 3.2.4 Hecke algebras are universal; 3.2.5 Flat deformations; 3.2.6 Freeness over the Hecke algebra; 3.2.7 Hilbert modular basis problems; 3.2.8 Locally cyclotomic deformation; 3.2.9 Locally cyclotomic Hecke algebras; 3.2.10 Global deformation over a p-adic field; 3.3 Base change; 3.3.1 p-Ordinary Jacquet-Langlands correspondence; 3.3.2 Base fields of odd degree; 3.3.3 Automorphic base change; 3.3.4 Galois base change; 3.4 L-invariants of Hilbert modular forms; 3.4.1 Statement of the result 3.4.2 Deformation without monodromy conditions |
| Record Nr. | UNINA-9910792233803321 |
|
Hida Haruzo
|
||
| Oxford, : Clarendon, 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Hilbert modular forms and Iwasawa theory [[electronic resource] /] / Haruzo Hida
| Hilbert modular forms and Iwasawa theory [[electronic resource] /] / Haruzo Hida |
| Autore | Hida Haruzo |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Oxford, : Clarendon, 2006 |
| Descrizione fisica | 1 online resource (417 p.) |
| Disciplina | 512.74 |
| Collana | Oxford mathematical monographs |
| Soggetto topico |
Forms, Modular
Hilbert modular surfaces Iwasawa theory |
| ISBN |
1-280-90406-2
9786610904068 0-19-151387-3 1-4294-6994-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; 1 Introduction; 1.1 Classical Iwasawa theory; 1.1.1 Galois theoretic interpretation of the class group; 1.1.2 The Iwasawa algebra as a deformation ring; 1.1.3 Pseudo-representations; 1.1.4 Two-dimensional universal deformations; 1.2 Selmer groups; 1.2.1 Deligne's rationality conjecture; 1.2.2 Ordinary Galois representations; 1.2.3 Greenberg's Selmer groups; 1.2.4 Selmer groups with general coefficients; 1.3 Deformation and adjoint square Selmer groups; 1.3.1 Nearly ordinary deformation rings; 1.3.2 Adjoint square Selmer groups and differentials
1.3.3 Universal deformation rings are noetherian1.3.4 Elliptic modularity at a glance; 1.4 Iwasawa theory for deformation rings; 1.4.1 Galois action on deformation rings; 1.4.2 Control of adjoint square Selmer groups; 1.4.3 Λ-adic forms; 1.5 Adjoint square L-invariants; 1.5.1 Balanced Selmer groups; 1.5.2 Greenberg's L-invariant; 1.5.3 Proof of Theorem 1.80; 2 Automorphic forms on inner forms of GL(2); 2.1 Quaternion algebras over a number field; 2.1.1 Quaternion algebras; 2.1.2 Orders of quaternion algebras; 2.2 A short review of algebraic geometry; 2.2.1 Affine schemes 2.2.2 Affine algebraic groups2.2.3 Schemes; 2.3 Automorphic forms on quaternion algebras; 2.3.1 Arithmetic quotients; 2.3.2 Archimedean Hilbert modular forms; 2.3.3 Hilbert modular forms with integral coefficients; 2.3.4 Duality and Hecke algebras; 2.3.5 Quaternionic automorphic forms; 2.3.6 The Jacquet-Langlands correspondence; 2.3.7 Local representations of GL(2); 2.3.8 Modular Galois representations; 2.4 The integral Jacquet-Langlands correspondence; 2.4.1 Classical Hecke operators; 2.4.2 Hecke algebras; 2.4.3 Cohomological correspondences; 2.4.4 Eichler-Shimura isomorphisms 2.5 Theta series2.5.1 Quaternionic theta series; 2.5.2 Siegel's theta series; 2.5.3 Transformation formulas; 2.5.4 Theta series of imaginary quadratic fields; 2.6 The basis problem of Eichler; 2.6.1 The elliptic Jacquet-Langlands correspondence; 2.6.2 Eichler's integral correspondence; 3 Hecke algebras as Galois deformation rings; 3.1 Hecke algebras; 3.1.1 Automorphic forms on definite quaternions; 3.1.2 Hecke operators; 3.1.3 Inner products; 3.1.4 Ordinary Hecke algebras; 3.1.5 Automorphic forms of higher weight; 3.2 Galois deformation; 3.2.1 Minimal deformation problems 3.2.2 Tangent spaces of local deformation functors3.2.3 Taylor-Wiles systems; 3.2.4 Hecke algebras are universal; 3.2.5 Flat deformations; 3.2.6 Freeness over the Hecke algebra; 3.2.7 Hilbert modular basis problems; 3.2.8 Locally cyclotomic deformation; 3.2.9 Locally cyclotomic Hecke algebras; 3.2.10 Global deformation over a p-adic field; 3.3 Base change; 3.3.1 p-Ordinary Jacquet-Langlands correspondence; 3.3.2 Base fields of odd degree; 3.3.3 Automorphic base change; 3.3.4 Galois base change; 3.4 L-invariants of Hilbert modular forms; 3.4.1 Statement of the result 3.4.2 Deformation without monodromy conditions |
| Record Nr. | UNINA-9910819649703321 |
|
Hida Haruzo
|
||
| Oxford, : Clarendon, 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Hilbert modular forms and Iwasawa theory / Haruzo Hida
| Hilbert modular forms and Iwasawa theory / Haruzo Hida |
| Autore | Hida, Haruzo |
| Pubbl/distr/stampa | Oxford : Clarendon, c2006 |
| Descrizione fisica | xiv, 402 p. ill. ; 24 cm |
| Disciplina | 512.74 |
| Collana |
Oxford mathematical monographs
Oxford science publications |
| Soggetto topico |
Forms, Modular
Hilbert modular surfaces Iwasawa theory |
| ISBN | 019857102X |
| Classificazione |
AMS 11F41
AMS 11-02 AMS 11R23 LC QA243.H42 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001983829707536 |
|
Hida, Haruzo
|
||
| Oxford : Clarendon, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Hilbert modular surfaces / Gerard van der Geer
| Hilbert modular surfaces / Gerard van der Geer |
| Autore | Geer, Gerard : van der |
| Pubbl/distr/stampa | Berlin ; New York : Springer-Verlag, c1988 |
| Descrizione fisica | ix, 291 p. : ill. ; 25 cm. |
| Disciplina | 512.7 |
| Soggetto topico | Hilbert modular surfaces |
| ISBN | 3540176012 |
| Classificazione |
AMS 11F
AMS 11F41 AMS 11G18 AMS 11J20 QA573.G44 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | en |
| Record Nr. | UNISALENTO-991000979119707536 |
|
Geer, Gerard : van der
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| Berlin ; New York : Springer-Verlag, c1988 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Non-archimedean L-functions of Siegel and Hilbert modular forms / / Alexey A. Panchishkin
| Non-archimedean L-functions of Siegel and Hilbert modular forms / / Alexey A. Panchishkin |
| Autore | Pančiškin A. A (Aleksej Alekseevič) |
| Edizione | [1st ed. 1991.] |
| Pubbl/distr/stampa | Berlin ; ; Heidelberg : , : Springer-Verlag GmbH, , 1991 |
| Descrizione fisica | 1 online resource (VII, 161 p.) |
| Disciplina | 512.73 |
| Collana | Lecture notes in mathematics |
| Soggetto topico |
L-functions
Siegel domains Hilbert modular surfaces |
| ISBN | 3-662-21541-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Content -- Acknowledgement -- 1. Non-Archimedean analytic functions, measures and distributions -- 2. Siegel modular forms and the holomorphic projection operator -- 3. Non-Archimedean standard zeta functions of Siegel modular forms -- 4. Non-Archimedean convolutions of Hilbert modular forms -- References. |
| Record Nr. | UNISA-996466595503316 |
|
Pančiškin A. A (Aleksej Alekseevič)
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| Berlin ; ; Heidelberg : , : Springer-Verlag GmbH, , 1991 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Periods of Hilbert modular surfaces / Takayuki Oda
| Periods of Hilbert modular surfaces / Takayuki Oda |
| Autore | Oda, Takayuki |
| Pubbl/distr/stampa | Boston : Birkhauser, 1982 |
| Descrizione fisica | xvi, 123 p. ; 24 cm |
| Disciplina | 512.7 |
| Collana |
Progress in mathematics [Birkhauser], ISSN 0743-1643; 19
Progress in mathematics ; 19 |
| Soggetto topico |
Hilbert and Hilbert-Siegel modular groups
Hilbert modular surfaces Modular forms |
| ISBN | 3764330848 |
| Classificazione | AMS 11F41 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001226989707536 |
|
Oda, Takayuki
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| Boston : Birkhauser, 1982 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
