02775nam 2200625 450 991048051580332120170822142139.01-4704-0420-6(CKB)3360000000465003(EBL)3114189(SSID)ssj0000973210(PQKBManifestationID)11537963(PQKBTitleCode)TC0000973210(PQKBWorkID)10958884(PQKB)10667684(MiAaPQ)EBC3114189(PPN)195417070(EXLCZ)99336000000046500320040903h20052005 uy| 0engur|n|---|||||txtccrHilbert modular forms mod p and p-adic aspects /F. Andreatta, E.Z. GorenProvidence, Rhode Island :American Mathematical Society,[2005]©20051 online resource (114 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 819"Volume 173, number 819 (fourth of 5 numbers)."0-8218-3609-9 Includes bibliographical references (pages 98-100).""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""Memoirs of the American Mathematical Society ;no. 819.Arithmetical algebraic geometryHilbert modular surfacesForms, ModularModuli theoryElectronic books.Arithmetical algebraic geometry.Hilbert modular surfaces.Forms, Modular.Moduli theory.510 s516.3/5Andreatta F(Fabrizio),1972-903033Goren Eyal Z(Eyal Zvi),1963-MiAaPQMiAaPQMiAaPQBOOK9910480515803321Hilbert modular forms2018698UNINA