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| Kambayashi T., Miyanishi M., Takeuchi M. — Unipotent Algebraic Groups |
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| Предметный указатель |
((fpqc)-)sheafification 151
(Abelian) rank 76
(Divisor) class group 59
(fppf)-sheaf 108 109
(fpqc)-cohomology 73
(fpqc)-sheafification 151
(Free) action 63 114
(G-)module functor 110
(Galois) descent 42
(Generalized) Jacobian variety 81
(Generically) separable 74
(Geometrically k-)split 31 147
(k-)algebra of type (*) 135
(k-)form 2 15
(k-)group 4 6
(k-)group functor 5
(k-)group of Russell type 2 27
(k-)group scheme 2
(k-)group scheme, affine 4
(k-)group scheme, finite 63
(k-)integral scheme 7
(k-)isogeneous 148
(k-)normal 40
(k-)normal curve 72
(k-)rational 3
(k-)smooth 4
(k-)wound unipotent k-group 3 45
(k-closed) immersion 12
(k-group of) Russell type 2 27
(k-normal) completion 72
(k-wound) unipotent k-group 3 45
(p-)independent 93
(p-)Lie algebra 13
2-cocycle 35 148
Admissible pair 25
Affine k-group scheme 6
Affine k-scheme 3 5
Affine space 1
Algebraic group 1
Arithmetic genus 3 77
Base change theorem 77
Biadditive 29
Canonical divisor 78
Central extension 2 146
Central series 2
Coaction 108
Coalgebra 143
Cohomology, Demazure — Hochschild 3
Cohomology, first derived 73
Commutative extension 34
Comodule 108
Comultiplication 14
Connected 1
Cross section 148
Curve, k-normal 72
Curve, rational 40
Demazure — Hochschild cohomology 3
Derived functor 119
Dieudonne module 148
Division algorithm 8
Divisor 7
Divisor class group 59
Divisor, canonical 78
Divisor, Weil 75
Dual Hopf algebra 141
Effaceable 119
EXPONENT 14
Extension of G by H 146
| Extension, central 2 146
Extension, commutative 34
Extension, modular 69
Faisceau dur 108
Faithfully flat 12
Finite k-group scheme 63
Finite morphism 40
First derived cohomology 73
Free action 63 114
Frobenius homomorphism 6 10
Function field 7
Galois descent 42
Generalized Jacobian variety 81
Generically separable 71
Genus 3
Genus, arithmetic 77
Genus, geometric 90
Geometrically k-split 31 147
Gorenstein ring 78
Height 25 46 63
Hochschild cohomology group 108
Hopf algebra 6
Hopf algebra, dual 141
Hyperalgebra 4 141
Invertible sheaf 58
Irreducible 121
K-scheme 3 5
Krull domain 61
k[F]-module 3 8 17
Linear system 78
Logarithmic derivative 62
Minimum splitting field 51
Modular extension 69
Module, Dieudonne 148
Nakayama's lemma 18
Normalization 40
P-polynomial 41
PBW (Poincare — Birkhoff — Witt) Theorem 14
Picard group 3 58
PID (principal ideal domain) 17
Place 40
Plane cubic 97
Pointed irreducible coalgebra 143
Presheaf 109
Proper scheme 73
Quotient ring 9
Ramification index 62
Rational curve 40
Reduced 11
Riemann — Roch theorem 76
Scheme 3
Scheme, k-group 2
Scheme, k-integral 7
Scheme, proper 73
Sheaf, dualizing 77
Sheaf, invertible 58
Shift 12
Spectral sequence 73
Split torus 6
Torsion-free 9
Unipotent algebraic group 6
Unique factorization domain 61
Universal enveloping algebra 14
Variety 1
Vector group 2
Verschiebung homomorphism 11 142
Weil divisor 75
Witt vector group 148
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