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| Schenck H. — Computational algebraic geometry |
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| Предметный указатель |
Orientation of surface 111 125
Poincare duality 111 76
Poincare — Hopf theorem 73
Polytope 73
Polytope, cyclic 158
Presheaf 126—127
Prime avoidance 44
Prime, embedded 8
Prime, minimal 8
Principal ideal domain 167—168 146
Projection 60—61
Projective dimension 145
Projective module 35
Projective plane 19
Projective space 18
Projective variety 21
Projectively normal 143
Quasicompact 13
Rational quartic 153
Rational quartic and Riemann-Roch 153
Rational quartic, cohomology of 155—156
Regular function 13 15 129
Regular map 14
Regular sequence 45 147
Regularity 97 156—158
Reisner's theorem 159
Residue 182 139—140
Resolution, free see Free resolution
Resolution, injective 116
Resolution, projective 112
Riemann surface 134
Riemann — Hurwitz formula 174
Riemann — Roch problem 135
Riemann — Roch theorem 139—142
Ring 164—168
Ring, Cohen-Macaulay 149
Ring, commutative 164
Ring, graded 21
Ring, homomorphism 166
Ring, local 167 174
Ring, Noetherian 4
Ring, regular local 174
Ring, Stanley — Reisner 72
Saturation 104
Schlegel diagram 73
Serre duality 141
Sheaf 126—129
Sheaf and Ext 153—156
Sheaf cohomology 129—132
Sheaf of modules 128
| Sheaf, associated 128
Sheaf, coherent 129
Sheaf, locally free 129
Simplex, abstract 65
Simplex, boundary of 66
Simplex, geometric 65
Simplex, oriented 65
Simplicial complex 66
Simplicial complex, oriented 66
Simplicial homology 66—67
Simplicial polytope 73
Simplicial sphere 158—159
singular 174
Singular point 171
Singularity, isolated 181
Smooth 171—174 134
Snake lemma 107—108
Spectral sequence 125
Stalk 127
Standard unit 65
Stanley — Reisner ring 72—79
Stanley — Reisner ring and Hilbert polynomial 76
Stanley — Reisner ring and Hilbert series 74
Stanley — Reisner ring and primary decomposition 77—79
Subvariety 3
Support of module 82
Support of monomial 76
Surface, genus of 110—111
Surface, orientable 111 125
Surface, Riemann 134
Taylor series 181 128
Tensor product 88—91 69
topology 12
Topology, subspace 13
Topology, Zariski 13
Tor 112—116 149
Torus 71
Twisted cubic 12 32 39 56 60 135—136 150
Upper bound conjecture 158—161
Variety 2
Variety, irreducible 3
Variety, projective 21
Veronese surface 137
Very ample 135
Yoneda pairing 123
Zariski closed set 13
Zariski closure 15
Zariski open set 13
Zariski topology 13
Zariski topology on  21
Zero-divisor 164—165
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