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 Hodge W., Vallance D, Pedoe D. — General theory of algebraic varieties in projective space Обсудите книгу на научном форуме Нашли опечатку? Выделите ее мышкой и нажмите Ctrl+Enter Название: General theory of algebraic varieties in projective space Авторы: Hodge W., Vallance D, Pedoe D. Язык: Рубрика: Математика/ Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 1994 Количество страниц: 402 Добавлена в каталог: 31.10.2010 Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID Предметный указатель correspondence      105 , complete intersection with primal      368 , Grassmann variety of d-spaces in       310 , Schubert variety      316 Absolutely irreducible variety      68 Algebraic correspondence      89 100 Algebraic varieties      3 Algebraic varieties, system of      67 Algebraically closed field      74 Associative law of intersection in       166 Automorphism of extension over field      66 Automorphism of field      66 Base for subvarieties of a quadric      238 Base for subvarieties of Grassmannian      337 Base for varieties      194 Bezout’s Theorem      158 Birational correspondence      105 Birational equivalence      106 Canonical form for cubic ternary form      118 Canonical form for equations of intersection of two quadrics      287 Canonical form for pair of quadrics      278 Canonical form for quadric      204 Carrier-variety of algebraic system      113 Cayley form      33 Cayley form of variety in r-way space      97 Cayley form, algebraic conditions for      51 Cayley image of algebraic system      113 Characters      361 Class of curve and surface      361 Commutative law of intersection in       159 Complete intersection of and primal      368 Complete intersection of quadric and primal      244 Component, irreducible, of variety      10 Component, redundant      10 Condition for Cayley form      61 Condition for reducibility      6 Cone projecting a variety      46 Conjugate elements      64 Conjugate extensions      64 Conjugate points with regard to a quadric      207 Conjugate set of points      27 Conjugate spaces      218 Continuous system of varieties      180 Coordinates, non-homogenoous      16 Coordinates, normalised      16 Correspondence, algebraic      89 100 Correspondence, birational      105 Correspondence, determined by joining to       164 Correspondence, image-points in      102 Correspondence, irreducible      100 Correspondence, object-points in      102 Correspondence, reducible      100 Cross-join of two varieties      154 Degree of conjugacy      218 Dimension of a variety      23 Dimension of a variety in r-way space      92 Direct product of two varieties      146 Distributive law of intersection in       160 Dual of quadric      213 Dual of Schubert condition      319 Effective variety      185 Elementary enumerative characters      361 Elements, conjugate      64 Enveloping field      2 Equivalence       180 Equivalence in the narrow sense       182 Equivalence in the virtual sense       186 Equivalence in the wide sense      183 Equivalence , birational      106 Equivalence , classes       184 Equivalent varieties      180 Extensions, conjugate      64 Field, algebraic closure      74 Field, algebraically closed      74 Field, automorphism of      66 Field, enveloping      2 Field, intermediate      66 Field, least normal extension of      68 Field, normal extension of      64 Field, stem      63 Field, universal      2 Function field of a variety      15 Fundamental point of stereographic projection      249 Generic k-space      16 Generic point of a variety      10 Generic variety of irreducible system      67 Grade of a variety      193 Grassmann variety      310 Grassmannian      310 Homogeneous ideal      8 Ideal, homogeneous      8 Ideal, prime      8 Image-points in correspondence      102 Image-variety      102 Integrally closed ring      123 Intermediate field      66 Intersection of and on       171 Intersection of multiplicative varieties      158 Intersection of systems of equivalence      191 Intersection of systems of varieties      173 Intersection of two quadrics      286 Intersection of varieties      4 Intersection, an intrinsic concept      179 Intersection, associative law for, in       165 Intersection, commutative law for, in       159 Intersection, complete, of and primal      368 Intersection, rational, of two quadrics      302 Intersection-number of two varieties      192 Irreducible algebraic correspondence      100 Irreducible components of a variety      10 Irreducible varieties      6 Irregular points of stereographic projection      249 Isolated solution of set of equations      117 Laws of intersection on       173 Least normal extension of field      68 Linear spaces on a quadric      225 Minimal base for varieties      194 Minimum function of algebraic element      63 Monoidal representation of variety      63 Multiplicative variety      130 Multiplicity of component      130 Multiplicity of solution      127 Multiplicity, positive      127 Multiplicity, zero      127 Non-contractible representation as sum of varieties      10 Non-homogeneous coordinates of point      16 Non-singular quadric      205 Norm of a variety      61 Normal extension of a field      64 Normal problem      121 Normalised coordinates      16 Object-points in algebraic correspondence      102 Object-variety      102 Order of a variety      41 Order of irreducible primal      48 Orthogonal matrix      258 Parameter of algebraic system      113 Parametric representation of variety      63 Pencil of quadrics      286 Pencil of quadrics, in (n=1,2,3)      304 Pieri’s formula      354 Point, generic      10 Point, proper specialisation of      91 Point, simple, of variety      87 Point, singular, of variety      87 Points in algebraic correspondence      100 Points, conjugate set of      27 Points, conjugate, with regard to quadric      207 Polar prime      208 Polar r-ad      221 Polar space      216 Pole of prime      215 Positive multiplicity      127 Postulation of variety      371 Primal      26 Primal, order of      48 Prime      26 Prime, at infinity      16 Prime, ideal      8 Prime, passing through point      22 Prime, polar      208 Prime, pole of      215 Principle of conservation of the number      127 Principle of counting constants      104 Principle of Pluecker — Clebsch      116 Projective characters      361 Proper specialisation      91 Proper specialisation of multiplicative variety      131 Pure variety      61 Quadratic transformation      106 Quadric      204 Quadric of type       206 Quadric of type , alternative form      212 Quadric, complete intersection with primal      244 Quadric, dual of      213 Quadric, envelope      214 Quadric, non-singular      206 Quadric, touched along linear space      217 Quadrics, pencil of      286 Quotient ring of a point      124 Rational intersection of two quadrics      302 Reducibility condition      6 Reducible algebraic correspondence      100 Reducible varieties      6 Redundant component      10 Regular point of stereographic projection      249 Relatively irreducible variety      68 Ring of equivalence systems      192 Ring, integrally closed      123 Schubert condition       316 Schubert condition , dual of      319 Schubert system      316 Schubert varieties of complementary dimension      329 Schubert varieties,       316 Schubert varieties,       322 Schubert varieties, representation A for      322 Schubert varieties, representation B for      325 Schubert varieties, special      318 Segre symbol of pencil      289 Segre variety      96 Segre variety, standard power-products for      98 Self-conjugate space      218 Self-polar simplex      209 Simple intersection along a variety      163 170 Simple point of a variety      87 Singular locus of a variety      87 Singular point of a variety      87 Space, independent of a point      166 Special Schubert varieties      318 Specialisation, proper      91 Standard power-products      377 Standard power-products for Segre variety      98 Stem field      63 Stereographic projection      247 Stereographic projection, irregular points of      249 Sum of varieties      4 System from projective transformation      142 System of all k-spaces in       18 System of all k-spaces through a given space      19 System of equivalence {}      187 System of equivalence {}={}{}      189 System of orthogonal matrices      265 System of varieties      67 Tableau      377 Tangent space to variety      88 Universal field      2 Unmixed variety      61 Varieties, continuous system of      180 Varieties, cross-join of two      154 Varieties, direct product of two      146 Varieties, equivalent      180 Varieties, intersecting simply along a variety      163 170 Varieties, intersections of multiplicative      168 Varieties, non-contractible representation of variety as sum of      10 Varieties, sum of      4 Variety in r-way space      89 Variety of order one      48 Variety, absolutely irreducible      68 Variety, algebraic      3 Variety, component      9 Variety, cone projecting a      46 Variety, contained in another      5 Variety, degenerated into two varieties      146 Variety, dimension in r-way space      92 Variety, dimension of      23 Variety, effective      185 Variety, function field of      16 Variety, generic point of      10 Variety, grade of      193 Variety, Grassmann      310 Variety, image-      102 Variety, irreducible      6 Variety, irreducible component of      10 Variety, lying in another variety      6 Variety, monoidal representation of      63 Variety, multiplicative      130 Variety, non-singular      170 Variety, norm of      61 Variety, object-      102 Variety, order of      41 Variety, order, characteristic property of      61 Variety, parametric representation of      63 Variety, postulation of      371 Variety, pure      61 Variety, reducible      6 Variety, relatively irreducible      68 Variety, Schubert      316 Variety, Segre      95 Variety, singular locus of      87 Variety, tangent space to      88 Variety, unmixed      51 Vertex of quadric      207 Virtual variety      184 Z-space      155 Zero multiplicity      127 Zero variety      185 Реклама        © Электронная библиотека попечительского совета мехмата МГУ, 2004-2024 | | О проекте