Index
INDEX OF TERMINOLOGY
7iP accumulating multipliers (resp.
Schwarzians), Definition 4.59
adjunction operator, Proposition 3.39
admissibile subgroup, Definition 1.21
analytic uniformization of a
correspondence, Definition 1.23
Q—anticanonical 8—line bundle, Definition
2.27
E—arithmetic uniformization, Definition
1.36
E—arithmetic subgroup, Definition 1.33
backward orbit, Equation 1.39
8—base point, Definition 2.14, 2.46
6—base locus, Definitions 2.14, 2.46, 2.53
basic 5—character of order 1, Definition
7.16
basic 8—character of order 2, Definition
7.18
canonical R[[T}} basis of de Rham,
Definition 8.10
canonical R[[Uj]] basis of de Rham,
Definition 8.7
canonical 8—character, Definition 7.24
canonical derivation, Definition 4.21
canonical line bundle of a correspondence,
Definition 1.7
canonical line bundle of a formal
correspondence, Definition 4.2
Q—canonical 8—line bundle, Definition 2.27
i/—canonical line bundle, Definition 1.7
categorical quotient, Definition 1.1
8—character, Definition 7.9
Chebyshev polynomial, Definition 1.29
8—cohomology, Definition 2.31
commensurable correspondences, Definition
1.10
conjugate operators, Definition 3.40
d—coregular 8—section, Definition 4.53
correspondence, Definition 1.1
critically finite, Definition 1.42
n—cycle on a correspondence, Definition
4.56
8—degree, Definition 5.11
dense correspondence, Definition 1.9
8—derivation, Definition 2.11
p— derivation , Definition 2.1
dimension of a correspondence, Definition
1.4
disjoint union of correspondences,
Definition 1.4
8—dominant, Definition 2.15
dual numbers, Equation 1.5
equivalent correspondences, Definition 1.10
etale correspondence, Definition 1.4
Euler derivation operator, Remark 3.58
Euler-Lagrange operator/equation,
Equation 3.36
evaluation maps, Definition 2.14
false I—form, Definition 8.1
fixed point, Definition 4.48
flat correspondence, Definition 7.1
flat uniformization, Definition 1.23
flat line bundle, Definition 1.6
flat 8—line bundle, Definition 2.26
(m,n,r)—flat canonical bundle, Definition
4.10
formal correspondence, Definition 4.1
formal line bundle, Definition 4.2
formal 8—line bundle, Definition 4.13
formally flat 8—line bundle, Definition 4.54
forward orbit, Equation 1.38
Frobenius tangent scheme (resp. bundle),
Definition 3.8
full subgroup, Definitions 2.58, 6.22
8—function, Definition 2.22
Galois cover of a correspondence,
Definition 1.11
8—Galois group, Definition 5.11
generalized root of unity, Definition 4.29
generic rule, Definition 2.68
germ of a correspondence, Definition 4.49
germ of a 8—line bundle, Definition 4.50
germ of a 8—section, Definition 4.53
generic 8—fiber, Definition 2.81
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