LEADER 02773nam 2200625 450 001 9910829180803321 005 20170822142139.0 010 $a1-4704-0420-6 035 $a(CKB)3360000000465003 035 $a(EBL)3114189 035 $a(SSID)ssj0000973210 035 $a(PQKBManifestationID)11537963 035 $a(PQKBTitleCode)TC0000973210 035 $a(PQKBWorkID)10958884 035 $a(PQKB)10667684 035 $a(MiAaPQ)EBC3114189 035 $a(RPAM)13709983 035 $a(PPN)195417070 035 $a(EXLCZ)993360000000465003 100 $a20040903h20052005 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aHilbert modular forms $emod p and p-adic aspects /$fF. Andreatta, E.Z. Goren 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2005] 210 4$dİ2005 215 $a1 online resource (114 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 819 300 $a"Volume 173, number 819 (fourth of 5 numbers)." 311 $a0-8218-3609-9 320 $aIncludes bibliographical references (pages 98-100). 327 $a""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, I??[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 I??[sub(B,i)]""; ""13. The operator V""; ""14. The operator U""; ""15. Applications to filtrations of modular forms"" 327 $a""16. Theta cycles and parallel filtration (inert case)""""17. Functorialities""; ""18. Integrality and congruences for values of zeta functions""; ""19. Numerical examples""; ""20. Comments regarding values of zeta functions""; ""21. References"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 819. 606 $aArithmetical algebraic geometry 606 $aHilbert modular surfaces 606 $aForms, Modular 606 $aModuli theory 615 0$aArithmetical algebraic geometry. 615 0$aHilbert modular surfaces. 615 0$aForms, Modular. 615 0$aModuli theory. 676 $a510 s 676 $a516.3/5 700 $aAndreatta$b F$g(Fabrizio),$f1972-$01650831 702 $aGoren$b Eyal Z$g(Eyal Zvi),$f1963- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910829180803321 996 $aHilbert modular forms$94000436 997 $aUNINA