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Zariski O. — Algebraic Surfaces
Zariski O. — Algebraic Surfaces

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Название: Algebraic Surfaces

Автор: Zariski O.

Аннотация:

The main aim of this book is to present a completely algebraic approach to the Enriques¿ classification of smooth projective surfaces defined over an algebraically closed field of arbitrary characteristic. This algebraic approach is one of the novelties of this book among the other modern textbooks devoted to this subject. Two chapters on surface singularities are also included. The book can be useful as a textbook for a graduate course on surfaces, for researchers or graduate students in algebraic geometry, as well as those mathematicians working in algebraic geometry or related fields


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 2nd edition

Год издания: 1971

Количество страниц: 270

Добавлена в каталог: 03.04.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Adjoint, surfaces      64
Adjoint, system      61
Adjoint, system, regularity of      180
Adjoint, system, transformation law of      64
Adjunction, distributive property of      62
Adjunction, successive      84
Algebraic, dependence of curves      107
Algebraic, modulus      130 142
Algebraic, number of intersections      130
Algebraic, system      24 92
Algebraic, system, index of      93
Algebraic, system, irreducible      93
Algebraic, system, rational      93
Arithmetic genus      75
Arithmetically effective curve      80
Base      109
Base, accidental      30
Base, assigned      30
Base, infinitely near      27
Base, intermediate      110
Base, minimal      113
Base, points      25
Bigenus      70
Branch curve      207
Canonical system      66
Canonical system, pure      67
Canonical system, transformation law of      66 67
Characteristic linear system      114
Characteristic series, of a continuous system      94 95 215 220
Characteristic series, of a linear system      27 51
Characteristic set      94
Characteristic terms      7
Circle, finite      191
Circle, invariant      134
Circle, tubular      187
Circle, vanishing      133
Connected curve      36 216
Continuous system of curves      93
Continuous system, complete      96
Continuous system, complete, complete in the restricted sense      95
Continuous system, complete, virtual      97
Correspondence (algebraic)      3
Correspondence (algebraic), degenerate      239
Correspondence (algebraic), irreducible      4
Correspondence (algebraic), ordinary      146
Correspondence (algebraic), singular or non-singular      146 244
Correspondence fixed points or coincidences of      146 240
Correspondence, of Zeuthen      245
Correspondence, rank of      241 246
Correspondence, valence of      145 244 245
Correspondence, virtual degree of      145
Cuspidal point ordinary      18
Cycle, algebraic      130
Cycle, algebraic, characterization of      172
Division group      112
Divisor of zero      112 129 180
Equivalence, algebraic      97
Equivalence, algebraic, in the effective sense      96
Equivalence, algebraic, in the restricted sense      95
Equivalence, linear      30
Exceptional curve      37
Free point      8
Fundamental group, of a plane algebraic curve      207
Fundamental group, of a plane singularity      13
Geometric genus      67
Group of torsion      140
Infinitesimal multiple curve      14
Infinitesimal multiple curve, fundamental curve      56
Integrals, double      156
Integrals, double, cyclic or point residue of      190
Integrals, double, improper      157
Integrals, double, normal      191
Integrals, double, of the 1st and of the 2nd kind      157
Integrals, double, of the 1st and of the 2nd kind, independent      196
Integrals, double, period or residue of      157
Integrals, simple      156
Integrals, simple, dependent or independent      156
Integrals, simple, of the first kind, period matrix of      179
Integrals, simple, of the second kind, residue function of      161
Intrinsic orientation of an analytical manifold      130
Invariant integral      183
Invariant relative or absolute      67
Invariant, $\sigma$ of Severi      112
Invariant, $\varrho$ of Picard      109
Invariant, $\varrho_0$      142
Invariant, I of Zeuthen-Segre      69
Irregularity of a surface      76
Isolated curve      35
Jacobian curve of a net      65
Jacobian set, of a pencil      235
Jacobian set, of a pencil, of a simple integral of the 1st kind      235
Jacobian, system      65
Kronecker index      130
Linear system complete      29 51 52
Linear system complete, irregularity of      53 80
Linear system complete, multiples of      32
Linear system complete, regular      51 53 80
Linear system complete, relative to a set of base points      30
Linear system complete, sum and difference of systems      31
Linear system complete, superabundance of      51 80
Linear system complete, systems      31
Linear system complete, virtual dimension of      51 52 80
Linear system of curves      24
Linear system, composed of an involution      37
Linear system, composed of the curves of a pencil      26
Linear system, effective degree and genus of      27
Linear system, index of speciality of      78
Linear system, irreducible or reducible      26
Linear system, non-singular      61
Linear system, special or non-special      78
Linear system, totally or partially contained in another, linear system, of curves      29 32
Moduli, of curves      219
Moduli, of surfaces      113
Multiplicity of a base point, assigned (virtual)      30
Multiplicity of a base point, effective      30
Multiplicity of a base point, negative      32
Normal functions      168
Normal surface      36
Pencil, irrational      25
Pencil, linear      25
Pencil, transcendental      235
Plucker characters, non-geometric      221
Pluricanonical systems      70
Plurigenera      70
Postulation formula      51 52
Principle, of degeneration      36 216
Principle, of discharge      28
Proper fundamental curve      64
Proper, multiple point      20
Proximate points      9
Proximity inequalities      27
Reduced periods      174
Reducible integrals      174
Reducible integrals, regular system of      174
Regular or irregular surface      75
Residual curve      32
Riemann matrix      173
Riemann matrix, multiplication of      244
Riemann matrix, principal matrix of      173
Satellite      8
Series, canonical      235
Series, of equivalence      234
Series, of equivalence, complete      235
Series, of intersection      232
Series, of Severi      235
Series, of strict equivalence      234
Series, regular      237
Singularities, isolated      22
Singularities, ordinary      18
Subadjoint curve of rank r      57
Subadjoint, surfaces      53
Subadjoint, system      55
Subadjoint, system, transformation law of      58
Topological product      143
Torsion coefficients      112 141
Transformation, birational      5
Transformation, Cremona      5
Transformation, locally quadratic      11
Transformation, quadratic, of the 1st kind      11
Transformation, quadratic, of the 2nd kind      22
Transformation, rational      4
Variety, abelian      104
Variety, algebraic      1
Variety, algebraic, dimension of      1 2
Variety, algebraic, parametric representation of      1 2
Variety, of Picard      104
Variety, of Segre      4
Variety, Riemannian      129
Virtual, characteristic series      43
Virtual, curve      44
Virtual, degree and genus      31 34
Virtual, multiplicities      30
Virtual, number of fixed points      240
Virtually non existent nodes or cusps      215 222
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