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Griffiths P., Harris J. — Principles of algebraic geometry
Griffiths P., Harris J. — Principles of algebraic geometry



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Название: Principles of algebraic geometry

Авторы: Griffiths P., Harris J.

Аннотация:

A comprehensive, self-contained treatment presenting general results of the theory. Establishes a geometric intuition and a working facility with specific geometric practices. Emphasizes applications through the study of interesting examples and the development of computational tools. Coverage ranges from analytic to geometric. Treats basic techniques and results of complex manifold theory, focusing on results applicable to projective varieties, and includes discussion of the theory of Riemann surfaces and algebraic curves, algebraic surfaces and the quadric line complex as well as special topics in complex manifolds.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1978

Количество страниц: 813

Добавлена в каталог: 01.07.2006

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Sextic plane curve      593
Sheaf      35
Sheaf, coherent      181 696
Sheaf, fine      42
Sheaf, hoiomorphsc      40
Sheaf, ideal      36 38 697
Sheaf, invertible      698
Sheaf, locally free      697
Sheaf, skyscraper      701
Sheaf, structure      36 170
Sheafify      699
Sheet number      217
Signature      125
Singular line      767
Singular locus/point      20
Singularities of curves, cusps      277
Singularities of curves, nodes      215
Singularities of curves, normal form of      277
Singularities of curves, resolution of      621
Singularities of curves, tacnodes      293 298 507
Singularities of curves, traditional      277
Singularities of curves, triple points      508
Singularities of surfaces, cuspidal points      617
Singularities of surfaces, double curves      612
Singularities of surfaces, m-fold points      636
Singularities of surfaces, normal form of      618
Singularities of surfaces, ordinary      618
Singularities of surfaces, ordinary double points      636
Singularities of surfaces, transverse double points      616
Singularities of surfaces, triple points      617
Skyscraper sheaf      701
Smooth point      20
Sobolev lemma      86 93
Sobolev space      85 368
Space curves      290
span      15
Special line      792
Special linear system      245
Spectral sequences      440 442
Star operator      82 151
Stationary trisecant      293
Stein manifold      445
Steiner constructions      528
Steiner surface      531 629
Stokes' theorem      365 647
Stokes' theorem for analytic varieties      33
Structure sheaf      36 170 697
Superabundance      481—483 528 531 712
Symmetric product of curve      236 496
Syzygy theorem      683 694
Syzygy, global      705
Tacnode      293 507
Tangent bundle, complex      70
Tangent bundle, complex, holomorphic      71
Tangent cone      22 175 391
Tangent space in projective space      175
Tangent space, anitholomorphic      17
Tangent space, complex      16
Tangent space, holomorphic      16
Tangential correspondence      283
Tangential ruled surface      272
Tangential trisecant      292
Tautological line bundle      605
Theorem A      700
Theorem B      159 700
Theorem of base      461
Theta-divisor      321 496 785
Theta-functions      317
Todd polynomial      437
Tor, of modules      684
Tor, of sheaves      700
Torelli's theorem      359
Torsion of metric      77 107 429
Torus, complex      16 225 300
Torus, real      85 368
Total Chern class      407
Total transform      495
Trace      668
Traditional signularities      277
Transformation law      657
Transition functons      66
Transverse double point      616
Triple point, of curve      508
Triple point, of surface      617
Trisecant, correspondence      291
Trisecant, stationary      293
Trisecant, tangential      292
Trivialization      66
TYPE      23
UFD      9
Unitary frame      71
United point      284
Universal bundle      145 164
Universal quotient bundle      207 411
Universal Schubert coefficients      199
Universal subbundle      207 410
Valence      284
Variety, affine algebraic      453
Variety, algebraic      166
Variety, analytic      12—14
Variety, nondegenerate      173
Variety, normal      177
Vector bundle      66
Vector bundle, holomorphic      69
Veronese map      178 674
Veronese surface      179 349 525 532 535 632 743
Very ample      192
Virtual genus      471
Web      137
Weierstrass division theorem      11 678
Weierstrass P-function      238
Weierstrass point      274
Weierstrass polynomial      8 502 678
Weierstrass preparation theorem      8 678
Weil homomorhism      406
Weil reciprocity      242
Weitzenboek identity      97
Whitney product formula      408
Wirtinger theorem      31 390
Yoneda pairing      707
Zero-cycle      667
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