Электронная библиотека Попечительского совета механико-математического факультета Московского государственного университета   Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум    Авторизация         Поиск по указателям Mumford D. — Algebraic Geometry I complex projective varieties Обсудите книгу на научном форуме Нашли опечатку? Выделите ее мышкой и нажмите Ctrl+Enter Название: Algebraic Geometry I complex projective varieties Автор: Mumford D. Язык: Рубрика: Математика/Алгебра/Алгебраическая геометрия/ Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 1976 Количество страниц: 98 Добавлена в каталог: 12.03.2005 Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID Предметный указатель Abelian varieties      155 Affine coordinate ring      3 Affine variety      1 Albanese's method for resolution      129 Algebraic structure on complex manifold      68 Algebraic subset of       1 Algebraic subset of       21 Analytic nullstellensatz      116 Analytic set      59 116 Arithmetic genus      115 132 Base points      97 Betti numbers of a curve      131 Betti numbers of projective space      93 Bezout's theorem      80 Birational maps      29 31 127 168 Bitangent planes      134 Blow-up      32 73. Blow-up defined by linear system      101 172 179 Branch locus      109 142 Branches of singularities      117 128 162 Canonical curves      148 Canonical divisor      107 141 148 Canonical ring      108 Cauchy — Riemann equations      63 95 Chans on       21 Charts in general      10 Charts on blow-up      158 Chows Theorem      61 95 Circular points at x      24 Complete linear system      97 103 145 Complex manifold      10 60 43 Conies      23 79 Connectedness of varieties      52 68 Constructive set      37 Correspondences      29;see also Rational Birational Counting constants, principle of      50 173 Cubic curves      131 149 179 Cubic curves, group law on      152 154 Cubic surfaces      173 Cubic varieties      80 De Rham cohomology      91 Degree of a cycle      55 71 80 84 Degree of a map      46 53 Degree of a variety      26 70 89 Degree: effect of a projection on      76 124 130 Differenlials - regular algebraic      105 145 147 150 Differentials - analytic      105 142 Differentials - C      104 Differentials - rational      106 Dimension of a variety      6 24 Dimension of an analytic set      60 Dimension of an intersection      56 Dimension of fibres of a map      45 Divisor of zeroes and poles      18 25 96 Dominating map      40 Dominating models      150 Elimination theory      33 Elimination theory - analytic case      63 Elliptic curves      131 149 Elliptic integral      151 Exceptional divisor      49 156 Function field      4 24 127 156 Fundamental class      92 Fundamental points      50 156 General projections      132 Generic point      2 Genus of a curve      145 Geometric genus      108 Grassmannian      174 Hermitian metric      86 hessian      136 149 Hilbert polynomial      110 129 137 146 Hilbert — Samuel polynomial      120 Hilbert's Nullstellensatz      3 Hirzebruch — Riemann — Roch theorem      131 Holomorphicmaps      60 67 118 152 Homogeneous coordinate ring      22 97 102 138 Homogeneous coordinates      20 Homogeneous ideal      21 Homogenization      23 Homology groups      90 93 131 151 Hurwitz formula      142 Hyperelliptic curves      148 Hyperplane at x      20 Hyperplane sections, "good"      113 Hypersurface in       2 Hypersurface in       25 Implicit function theorem      8 10 53 Infinitely near points      171 Inflexion, points of      136. 154 Intersection cycle      71 84 Intersection multiplicity      71 84 122 Irreducible algebraic set      3 68 Irreducible analytic set      59 117 Jacobian variety of a curve      155 Kaehler metric      86 Krull's theorem      8 15 138 Lefschetz's theorem      95 Linear equivalence of divisors      96 155 Linear system defined by rational map      98 167 Linear system of hypersurfaces      97 102 172 179 Linear systems      97 Local algebraic coordinates      14 Local analytic coordinates      10 Local equation of a divisor      17 161 Local ring of a point      4 24 Minimal model      172 Mittag — Loeffler problem      144 Model of a function field      127 156 170 Multiplicity of a ramification point of a map      45 118 121 Multiplicity of a singular point      75 123 161 Multiplicity of an intersection      71 122 Multiplicity-formula of Samuel      121 Multiplicity-formula of Weil      118 Noether normalization      36 102 Nullstellensatz      3 Nullstellensatz, analytic case      116 Openness principle      43 67 Order of vanishing      18 97 Ordinary double point      13 55 132 165 Orientation      87 Periods of a differential      91 151 Picard group      19 25 155 Pinch point      132 Plucker coordinates      173 Plurigenera      108 Principal divisor      18 96 Principle of counting constants      50 Projections      32 82 Projections - effect on degree      72 76 Projections - general      38 132 Projections of singular curves      130 Projective space      20 Projective transformations      21 Projective varieties, products of      27 80 Projective variety      22 Projectivized tangent cone      74 128 Proper transform of a curve on a blow-up      161 Quadric in       173 Quadric surfaces      29 172 Quadrics      24 Quadrics, projections of      78 Rational curves      131 141 Rational map defined by linear system      98 101 Rational maps      29 166 Regular maps      32 40 Residues      142 Resolution of singularities      32 127 160 Resultants      34 64 Retraction      83 Ricci curvature      109 Riemann extension theorem      62 Riemann — Roch for curves      145 Ruled surface      172 Samuel's multiplicity formula      121 Sard's lemma      42 Schubert calculus      116 Segre embedding      27 80 Singular homology      90 Singular point      6 Singular point - cusp      13 165 Singular point -node      55 132 165 Singularities of an analytic set      60 Smooth map      41 Smooth point      6 24 Specialization principle      53 Stereographic projection      12 Stoke's theorem      91 143 Tangent cone      74 Tangent space      3 24 Tnsecants      134 Topological genus of a curve      131 Topotogically unibranch      43 117 Transversal intersection      70 81 Triangulations      91 141 Unique factorization of affine rings      17 Unique factorization of local rings      15 Varieiy in       22 Variety in       1 Veronese surface      100 Volume of a variety      89 Weierstrass -function      152 Weierstrass normal form      150 Weierstrass preparation theorem      62 161 Weils multiplicity formula      118 Wirtinger's inequality      88 Zariski lopology on       1 Zariski topology - comparison with classical topology      39 68 Zariski topology on       22 Zariski's connectedness theorem      52 Zariski's main theorem      48 52 •analytic set      60 Реклама        © Электронная библиотека попечительского совета мехмата МГУ, 2004-2024 | | О проекте