Zuo K. — Representations Of Fundamental Groups Of Algebraic Varieties :: Электронная библиотека попечительского совета мехмата МГУ

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Zuo K. — Representations Of Fundamental Groups Of Algebraic Varieties

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Название: Representations Of Fundamental Groups Of Algebraic Varieties

Автор: Zuo K.

Аннотация:

Using harmonic maps, non-linear PDE and techniques from algebraic geometry this book enables the reader to study the relation between fundamental groups and algebraic geometry invariants of algebraic varieties. The reader should have a basic knowledge of algebraic geometry and non-linear analysis. This book can form the basis for graduate level seminars in the area of topology of algebraic varieties. It also contains present new techniques for researchers working in this area.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1999

Количество страниц: 135

Добавлена в каталог: 22.11.2009

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Предметный указатель

$\bar{k}$ —variety      10
$\rho$ —equivariant map      25
Abelian variety      63 89 114 118
Affine Weyl group      61
Albanese map      63 92 96 116
Algebraic curve      18 115
Algebraic curve, affine      19 62 91 101
Algebraic group, absolutely almost simple      12
Algebraic group, absolutely simple      12
Algebraic group, affine      10
Algebraic group, almost k—simple      12
Algebraic group, k—simple      12
Algebraic group, reductive      11
Algebraic group, semisimple      11
Algebraic surface      105 110
Algebraic variety      1 4 10
Algebraic variety, higher dimensional      57
Algebraic variety, projective      83 106
Algebraic variety, quasi-projective      13
Algebraic variety, smooth projective      110
Algebraically solvable      11
Ample line bundle      102
Apartment      22
Automorphic forms      111
Blowing up      83 96 121
Bochner type formula      115
Bogomolov's Lemma      120
Bruhat — Tits building      21
Castelnuovo — de Franchis — Ran's Theorem      65
Characteristic polynomial      60 92
Chern class      1 52 53
Chern-hyperbolic      109
Compact Kaehler manifold      7 26 27
Compact Kaehler manifold, quasi-compact      25 64
Compactification      42 43
Compactness property      60 91
Complex variations of Hodge structure      101 116
Complexified differential      61 97 116
Connection      52
Connection, flat      53
Controlled growth at infinity      27 41
Covering, finite etale      106 111
Covering, ramified      103 112
Covering, universal      1 25 100
Curvature form      56 119
Degree, parabolic      54
Derivative      26 28 36
Dilation      20
Direct product      10
Discrete valuation      17 20
Distance function      29 44
Eigenform      84 93 97
Elliptic elements      44
Energy      25
Energy minimizing      33 36 45 48
Energy, finite      4 27 28
Energy, infinite      27
Euclidean factor      27 43
Factorizations for nonrigid representations      83
Factorizations for p-adic unbounded representations      97
Fibration      4 121 123
Filtered local system      54
Filtration      54
Flat      22
Function field      19
Fundamental group      1 16 42 88 103
Galois closure      14 24 61
Galois morphism      57 58 59
Generalized eigensubsheaves      84 94
Geodesic ray      29 50
Green's Torelli theorem      102
Griffiths classifying maps      102
Group scheme      13
G—representations      12
Harmonic Hermitian metric      1
Harmonic ma, pluri-harmonic      4 8 26 42
Harmonic map      39 40

Hermitian — Yang — Mills-metric      1 53
Higgs bundle      1 4 53
Higgs bundle, filtered      54
Higgs bundle, poly-stable      1 53
Higgs bundle, stable      53
Hodge bundle      116
Holomorphic 1-form      60 63 93 97
Homotopy exact sequence      15
Hyperbolic element      44
Iitaka fibration      113
Invariant Riemannian metric      25
Irregularity      122
Isometry group      21
Isotropy group      22
Jordan equivalent      13
Kaehler form      25 26
Kodaira dimension      104 107 113
Lefschetz type theorem      63 65
Linear system      102 113
Linearization of affine groups      11
Local system      102
Margulis theorem      5
Maximal bounded subgroup      22
Moduli spaces      12
Morphism of algebraic groups      10 11
Non-archimedean norm      18
Nonpositive curvature      25 27 33
Normal algebraic subgroup      14 15 105
Normal crossing divisor      13 25 103
p-adic, bounded      18 20
p-adic, metric      2
p-adic, norm      20
p-adic, unbounded      17
Parabolic element      51
Pluricanonical form      109 111 112
Poincare metric      45
Proper algebraic subgroup      23
Properness criterion      67 74 78
Punctured disk      31 33
Quasiisometry      30
Radical      11
Reflections      23
Regular point      60
Regularity condition      54
Representation, big      105 110 113
Representation, p—adic      52 60
Representation, reductive      7 53
Representation, tautological      19
Representation, Zariski dense      13
Residually finite      15
Residue field      17
Residue map      95
Restriction of scalars      12
Riemann surface      42 52 53
Rigidity theorem      3 4
Semi Kaehler form      121
Semisimplification      13
Seshadri's geometric reductivity theorem      13
Shafarevich conjecture      5
Shafarevich morphism      104
slope      53
Spectral variety      57 93 97
Stabilizing at infinity      27 36 41
Stein-factorization      87 89 92 100 116
Symmetric space      29 32 41
Torus      11
Totally geodesic subspace      27 43
Uniformly bounded denominators      19
Unipotent      11
Unipotent radical      12
Universal categorical quotient      13
Valuation ring      17
Vector bundle      1
Vector bundle, flat      25 53 55 84
Vector bundle, poly-stable      1
Vertices      21
Zariski closure      83 121
Zariski's main theorem      90

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