Index
p-cycle, 89
q-symbol, 104
Algebra
canonical, 14
concealed canonical, 14
Kronecker, 12
tame, 12
tame hereditary, 15
tubular, 101
Ample pair, 49, 91
Auslander-Reiten translation
τ , 16
action on morphisms, 80, 81
inverse, τ
−,
16
Automorphism
degree shift, 33, 50, 60
efficient, 30, 31, 34, 39, 40
existence, 30
exhaustive, 31
geometric, 18, 77, 79, 82
ghost, 18
liftable, 65, 79
of bimodule, 76
inner, 76
point fixing, 18, 30
positive, 31, 49
prime fixing, 63
transitive, 31
tubular shift, 19–21
Automorphism group
inner
of bimodule, Inn(M), 76
of X
geometric, 18, 84
of X, Aut(X), 18, 76, 79, 82, 95, 107, 110,
113
of H, Aut(H), 18, 77, 96
of bimodule, Aut(M), 76
of derived category, 18, 108, 110
outer
of bimodule, Out(M), 76
Calabi-Yau property, 103
Cohen-Macaulay property, 51
Completion, 41, 55
Comultiplicity
of point,
e∗(x),
55, 57
Conformal, 42
Coxeter transformation, τ , 16
Degree shift, 33, 50, 60
Denominator set, 51
Differential polynomial case, 45
Divisors, 66
Euler form, 16
Exceptional
curve, 15
commutative, 17, 71
domestic, 102
homogeneous, 16
tubular, 101
object, 16
tube, 16
Fibre map, 35
Fourier-Mukai partners, 101, 104
Function field, k(X), 17, 44
commutativity of, 71
Genus
virtual, 101, 102
zero, 99
Ghost, 18
Ghost group, 18, 64, 71, 77, 79, 80, 84, 96,
105, 108, 110
Graded factorial, 40
Grothendieck group, K0(X), 16
Grothendieck’s lemma, 60
Homogeneous
curve, 16
point, 16
tube, 16
Ideal
completely prime, 34
prime, 34
127
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