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Record Nr. |
UNINA9910480515803321 |
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Autore |
Andreatta F (Fabrizio), <1972-> |
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Titolo |
Hilbert modular forms : mod p and p-adic aspects / / F. Andreatta, E.Z. Goren |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [2005] |
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©2005 |
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ISBN |
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Descrizione fisica |
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1 online resource (114 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 819 |
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Disciplina |
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Soggetti |
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Arithmetical algebraic geometry |
Hilbert modular surfaces |
Forms, Modular |
Moduli theory |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 173, number 819 (fourth of 5 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references (pages 98-100). |
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Nota di contenuto |
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""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"" |
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