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Hilbert modular forms : mod p and p-adic aspects /
Introduction Notations Moduli spaces of abelian varieties with real multiplication Properties of $\mathcal{G}$ Hilbert modular forms The $q$-expansion map The partial Hasse invariants Reduceness of the partial Hasse invariants A compactification of $\mathfrak{M} (k, \mu_{pN})^{\rm{Kum}}$ Congruences...
| Cote: | Libro Electrónico |
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| Auteur principal: | |
| Autres auteurs: | |
| Format: | Électronique eBook |
| Langue: | Inglés |
| Publié: |
Providence, RI :
American Mathematical Society,
2005.
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| Collection: | Memoirs of the American Mathematical Society ;
no. 819. |
| Sujets: | |
| Accès en ligne: | Texto completo |
MARC
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| 100 | 1 | |a Andreatta, F. |q (Fabrizio), |d 1972- |1 https://id.oclc.org/worldcat/entity/E39PBJwhDmKfQFjF3HjJFdkxDq | |
| 245 | 1 | 0 | |a Hilbert modular forms : |b mod p and p-adic aspects / |c F. Andreatta, E.Z. Goren. |
| 260 | |a Providence, RI : |b American Mathematical Society, |c 2005. | ||
| 300 | |a 1 online resource (vi, 100 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 1947-6221 ; |v v. 819 | |
| 500 | |a "Volume 173, number 819 (fourth of 5 numbers)." | ||
| 504 | |a Includes bibliographical references (pages 98-100). | ||
| 588 | 0 | |a Print version record. | |
| 520 | 8 | |a Introduction Notations Moduli spaces of abelian varieties with real multiplication Properties of $\mathcal{G}$ Hilbert modular forms The $q$-expansion map The partial Hasse invariants Reduceness of the partial Hasse invariants A compactification of $\mathfrak{M} (k, \mu_{pN})^{\rm{Kum}}$ Congruences mod $p^n$ and Serre's $p$-adic modular forms Katz's $p$-adic Hilbert modular forms The operators $\Theta_{\mathfrak{P}, i}$ The operator $V$ The operator $U$ Applications to filtrations of modular forms Theta cycles and parallel filtration (inert case) Functorialities Integrality and congruences for values of zeta functions Numerical examples Comments regarding values of zeta functions References. | |
| 505 | 0 | 0 | |t 1. Introduction |t 2. Notations |t 3. Moduli spaces of abelian varieties with real multiplication |t 4. Properties of $\mathcal {G}$ |t 5. Hilbert modular forms |t 6. The $q$-expansion map |t 7. The partial Hasse invariants |t 8. Reduceness of the partial Hasse invariants |t 9. A compactification of $\mathfrak {M}(k, \mu _{pN})^{Kum}$ |t 10. Congruences mod $p^n$ and Serre's $p$-adic modular forms |t 11. Katz's $p$-adic Hilbert modular forms |t 12. The operators $\Theta _{\mathfrak {P}, i}$ |t 13. The operator $V$ |t 14. The operator $U$ |t 15. Applications to filtrations of modular forms |t 16. Theta cycles and parallel filtration (inert case) |t 17. Functorialities |t 18. Integrality and congruences for values of zeta functions |t 19. Numerical examples |t 20. Comments regarding values of zeta functions. |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Arithmetical algebraic geometry. | |
| 650 | 0 | |a Hilbert modular surfaces. | |
| 650 | 0 | |a Forms, Modular. | |
| 650 | 0 | |a Moduli theory. | |
| 650 | 6 | |a Géométrie algébrique arithmétique. | |
| 650 | 6 | |a Surfaces modulaires de Hilbert. | |
| 650 | 6 | |a Formes modulaires. | |
| 650 | 6 | |a Théorie des modules. | |
| 650 | 7 | |a Arithmetical algebraic geometry |2 fast | |
| 650 | 7 | |a Forms, Modular |2 fast | |
| 650 | 7 | |a Hilbert modular surfaces |2 fast | |
| 650 | 7 | |a Moduli theory |2 fast | |
| 700 | 1 | |a Goren, Eyal Z. |q (Eyal Zvi), |d 1963- |1 https://id.oclc.org/worldcat/entity/E39PCjD8pvPQqbWrKRKbDWdh9C | |
| 758 | |i has work: |a Hilbert modular forms (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGR88kw4qXtdpG6kqhQQbd |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Andreatta, F. 1972- |t Hilbert modular forms : |x 0065-9266 |z 9780821836095 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 819. |x 0065-9266 | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3114189 |z Texto completo |
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