"Outside Np" 89
"Spreading out" 83
9
9
, 24
, 23
57
22
57
25
31
5
6
, 26
57
98
, , , 32—34
, 69
15
69
16
16
14
, , , 3 4
99
Arithmetic level structure 3
Compatibility of level structure and trivialization 4
Deformation of residual eigenform 87
Deformation of residual Galois representation 96
Deformation, outside Np 89
Diamond operators 18
Divided congruences 23
Families of modular forms 80
Frob 35
| Frobenius operator 34
Fundamental subgroup 35 36 39
g-expansion principle 17
Generalized p-adic modular functions see "p-adic modular functions"
Hecke operators 30
Katz eigenform 87
M(B,k,N) 7
Modular deformation ring 98
Modular deformation space 99
Modular residual Galois representation 94
Ordinary part 69
Ordinary projection 59
Ordinary subspace 59
Overconvergent p-adic modular forms 5 57
p-adic modular forms of weight 19—21 26—29
p-adic modular forms with growth condition, cuspidal 6
p-adic modular forms with growth condition, definition 5
p-adic modular forms with growth condition, holomorphic 6
p-adic modular forms with growth condition, q-expansion of 6
p-adic modular functions, definition 14
p-adic modular functions, holomorphic 15
p-adic modular functions, parabolic 16
p-adic modular functions, q-expansion of 15
p-adic modular functions, weight and nebentypus of 19
p-adic ring 3
R-structure 5
Residual eigenform 87
S(B,k,N;r) 6
Slope projection 57
Tate(q) 5
Test object with growth condition r 5
Trivialization of an elliptic curve 6
Twist of a modular function by a character 100—103
U operator 43
Universal modular deformation 98
|