Hilbert modular forms : mod p and p-adic aspects / / F. Andreatta, E.Z. Goren

• Autore: Andreatta F (Fabrizio), <1972->
• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [2005]; ©2005
• Descrizione fisica: 1 online resource (114 p.)
• Disciplina: 510 s; 516.3/5
• Soggetto topico: Arithmetical algebraic geometry; Hilbert modular surfaces; Forms, Modular; Moduli theory
• Soggetto genere / forma: Electronic books.
• Persona (resp. second.): GorenEyal Z <1963-> (Eyal Zvi)
• Note generali: "Volume 173, number 819 (fourth of 5 numbers)."
• Nota di bibliografia: Includes bibliographical references (pages 98-100).
• 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""
• Titolo autorizzato: Hilbert modular forms
• ISBN: 1-4704-0420-6
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910480515803321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society ; ; no. 819.