TY  - BOOK
AU  - Andreatta,F.
AU  - Goren,E.Z.
TI  - Hilbert Modular Forms: mod p and p-Adic Aspects
T2  - Memoirs of the American Mathematical Society
SN  - 9781470404208
AV  - QA242.5 -- .A53 2005eb 
U1  - 510 s;516.3/5 
PY  - 2005///
CY  - Providence
PB  - American Mathematical Society
KW  - Arithmetical algebraic geometry
KW  - Hilbert modular surfaces
KW  - Forms, Modular
KW  - Moduli theory
KW  - Electronic books
N1  - Intro -- 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, μ[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 Θ[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
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114189
ER  -