Cutkosky S.D. — Resolution of Singularities :: Электронная библиотека попечительского совета мехмата МГУ

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Cutkosky S.D. — Resolution of Singularities

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Название: Resolution of Singularities

Автор: Cutkosky S.D.

Аннотация:

A textbook for part of a one-year introductory sequence in algebraic geometry for students who have some familiarity with algebraic geometry and commutative algebra at the level of introductory courses in them.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2004

Количество страниц: 192

Добавлена в каталог: 27.05.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Abhyankar      12 28 42 45 130 131 152 153 157 158 160
Abramovich      9
Albanese      55
Approximate manifold      106
Atiyah      viii
Bierstone      6
Bravo      61
Cano      13
Chevalley      24
Cohen      22
Completion of the square      24
Cossart      131
Curve      2
de Jong      61 131
Derivations, Hasse — Schmidt      171
Derivations, higher      171
Eisenbud      viii
Encinas      61
Exceptional divisor      20 39 40
Exceptional locus      39 40
Giraud      70
Harrias      viii
Hartshorne      viii 1
Hauser      13 61 132
Heinzer      13 157
Hensel's lemma      23
Hironaka      2 15 61 62 130
Hypersurface      2
Intersection, reduced set-theoretic      62
Intersection, scheme-theoretic      2 62
Isolated subgroup      134
Karu      9
Kawasaki      11
Kuhlmann      13
Levi      55
Lipman      130
Local uniformization      12 130 138 147 156
Macaulayfication      11
Macdonald      viii
MacLanc      137
Matsuki      9
Maximal contact, formal curve      28
Maximal contact, formal hepersurface      177
Maximal contact, hepersurface      56 67 70 131 177
Milmau      61
Moh      61
Monoidal transform      16 39 40
Monomialization      13 157
Morphism, birational      9
Morphism, monomial      1
Morphism, proper      9
Multiplisity      3 19 25 175
Nagata      11
Narasimhan      131
Newton      1 3 6 12
Newton polygon      34
Normalization      3 10 12 26
ord      22 138
Order      3 19 25 138
order, $\nu_J(q)$       63
order, $\nu_q(J)$       175

order, $\nu_q(X)$       175
order, $\nu_R$       175
order, $\nu_X$       63 176
order, upper semi-continuous      176
Piltant      13
Principalization of ideals      40 43 99
Puiseux      6
Puiseux series      6 11 137
Resolution of differential forms      13
Resolution of indeterminacy      41 100
Resolution of singularities      9 40 41 61 100 102
Resolution of singularities, curve      10 12 26 27 30 38 39 42
Resolution of singularities, embedded      41 56 99
Resolution of singularities, equivariant      103
Resolution of singularities, excellent surface      130
Resolution of singularities, positive characteristic      10 12 13 30 42 105 152
Resolution of singularities, surface      12 45 105 152
Resolution of singularities, threefold      12 152
Resolution of vector fields      13
Ring, affine      2
Ring, regular      7
Rotthaus      9 13
Scheme, Cohen — Macaulay      11
Scheme, excellent      9
Scheme, non-singular      7
Scheme, quasi-excellent      9
Scheme, smooth      7
Schilling      137
Seidenberg      13
Serre      10
Shannon      151
Singularity,       45 105 177
Singularity, $Sing_b(\hat{\mathcal{O}_{X, q}}$       177
Singularity, Sing(J, b)      66
SNCs      29 40 49
Spivakovsky      13
surface      2
Tangent space      8
Teissier      13
Three-fold      2
Transform, strict      20 25 38 65
Transform, total      21 25 37
Transform, weak      65
Tschirhausen transformation      24 28 51 56 61 67 70
Uniformizing parameters      170
Upper semi-continuous      176
Valuation      12 133
Valuation dimension      134
Valuation rank      134
Valuation ring      134
Valuation, discrete      134
Valuation, rational rank      136
Variety      2
Variety, integral      2
Variety, quasi-complete      15
Variety, subvariety      2
Villamayor      61
Walker      55
Weierstrass preparation theorem      24
Wiegand      13
Wlodarczyk      9 61
Zariski      1 12 55 133 147 148 152 156

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