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Newstead P.E. — Introduction to modulu problems and orbit spaces
Newstead P.E. — Introduction to modulu problems and orbit spaces

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Название: Introduction to modulu problems and orbit spaces

Автор: Newstead P.E.

Язык: en

Рубрика: Математика/Алгебра/Алгебраическая геометрия/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1978

Количество страниц: 187

Добавлена в каталог: 18.03.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
1-parameter subgroup      103
Action of an algebraic group      43
Action, closed      43
Action, L-linear      82
Action, linear      44 73
Action, rational      47
Affine morphism      6
Affine open subset      3
Affine quotients      61—69
Affine variety      3
Algebraic group      42
Algebraic group, linear      44
Ample line bundle      33
Binary cubics      95 96
Binary forms      94—100 110 111
Binary quartios      96—100
Cate crical quotient      39
Closed action      43
Coarse moduli space      23 24
Cocycle condition      3 12
Cohomology of coherent sheaves over a curve      129—133
Compact variety      5
Compactification of a variety      6
Cubic curves      112—115
Cubic surfaces      115
Cubics, binary      95 96
Cyclic endomorphism of a vector space      36
Cyclic section      36
Cyclic vector      36
Degree of a coherent sheaf over a curve      130
Degree of a vector bundle over a curve      125 130
Determinant of a vector bundle      13
Direct sum of vector bundles      13
Discriminant      95 100
Dual of a vector bundle      13
Duality theorem      131
Embedding      3
Embedding, Segre      109
Endomorphism of a vector bundle      11
Endomorphism of a vector space, cyclic      36
Endomorphism of a vector space, semi-simple      31
Endomorphisms of vector spaces      28—41
Equivalence of families      19 20
Equivalence of families of vector bundles      146
Extension of vector bundles      126
Families      16—20
Family of endomorphisms of a vector space      23
Family of endomorphisms of complete varieties      18
Family of endomorphisms of hypersurfaces      17
Family of endomorphisms of torsion-free sheaves      167
Family of endomorphisms of vector bundles      19 125
Family, induced      20
Family, universal      23
Fibre of a torsion-free sheaf      164 165
Fine moduli space      22
Finite morphism      6
Flat morphias      9
Flat sheaf      9
Generic isomorphism of vector bundles over a curve      131
Generically surjeotive homomorphism of vector bundles over a curve      131
Geometric quotient      70
Geometrically reductive group      48
Good quotient      70
Grassmannian      119
G—invariant morphism      44
G—morphism      43 44
Hilbert polynomial of a coherent sheaf      130
Hilbert'e fourteenth problem      47 91
Homomorphism of algebraic groups      42
Homomorphism of vector bundles      11
Hyperplane bundle      13
Hypersurface in $p^n$      8
Hypersurface, non-singular      8
Hypersurfaces      100
Hypersurfaces, quadric      93 94
Indecomposable vector bundle      126
Induced vector bundle      11 12
Induoed family      20
Invariant morphism      44
Invariant point      43
Invariant polynomial      48
Invariant subset      43
Isomorphism of families of vector bundles      125
Isomorphism of vector bundles      11
Jump phenomenon      26
L-linear action      82
Line bundle      10
Line bundle, ample      63
Linear action      44 73
Linear algebraic group      44
Linearisation of an action      7
Linearisation of an action of PGL(m)      87
Linearisation of an action with respect to L      81
Linearly reductive group      48
Local universal property      37 38
Locally trivial morphism      10
Moduli problem      19
Moduli space, coarse      23 24
Moduli space, fine      22
Morphism, affine      6
Morphism, finite      6
Morphism, flat      9
Morphism, G-      43 44
Morphism, G-invariant      44
Morphism, locally trivial      10
Morphism, proper      6
Mumford's Conjecture      50 92
Nagata's theorem      49 52—61
Non-singular hypersurface      8
Orbit      43
Orbit space      39
Ordered seta of points of P      115—119
Plane cubic curves      112—115
Prevariety      3
Prevariety, separated      3
Projective quotients      70—81
Projeotive variety      3
Proper morphism      6
Quadrio hypersurfaces      93 94
Quasl-projective variety      3
Quotient, categorical      39
Quotient, geometric      70
Quotient, good      70
Quotients, affine      61—69
Quotients, projective      70—81
Rank of a coherent sheaf      129
Rank of a vector bundle      10
Rational action      47
Rational representation      44
Reductive group      48 50
Regular function      4
Regular point      66
Riamann — Hoch formula      130
Section of a vector bundle      11
Segre enbedding      109
Semi-aiaple endomorphism of a vector space      31
Semi-reductive group      48
Semi-stable point      73 82
Semi-stable torsion-free sheaf over a curve      165
Send-stable vector bundle over a curve      133
Separated prevariety      3
Sequences of linear subspaces      119—123
Simple vaotor bundle      127
Singular point of a hyper-surface      3
Stabiliser      43
Stability of binary cubics      95 96
Stability of binary forms      110 111
Stability of binary quartics      96—100
Stability of hypersurfaces      100
Stability of ordered sets of P      115—119
Stability of plane cubic curves      112—115
Stability of quadric hypersurfaces      93 94
Stability of sequences of linear subspaces      119—123
Stability of torsion-fres sheaves over a curve      164—170
Stability of vector bundles over a curve      124—170
Stable point      74 82
Stable torsion-free sheaf over a curve      165
Stable vector bundle over a curve      133
Subbundle generically generated by a subsheaf      132
Subbundle generically generated by a subspace of $H^0(F)$      133
Subbundle of a torsion-free sheaf      164
Tensor produot of vector bundles      13
Torsion-free sheaf over a curve, semi-stable      165
Torsion-free sheaf over a curve, stable      165
Torsion-free sheaves over a curve      164—170
Trivial bundle      11
Trivialiaatlon      10
Universal fandly      23
Valuative oritarion for props mass      7 3
Variety      2
Variety, affine      3
Variety, complete      5
Variety, projetive      3
Variety, quasi-projective      3
Vector bundle      10
Vector bundle over a curve generated by its sections      132
Vector bundle over a curve generically generated by its sections      132
Vector bundle over a curve, indecomposable      126
Vector bundle over a curve, semi-stable      133
Vector bundle over a curve, simple      127
Vector bundle over a curve, stable      133
Vector bundle, induced      11 12
Vector bundle, trivial      11
Vector bundles over a curve      124—170
Zariski topology      3
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