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| Alberich-Carramiňana M. — Geometry Of The Plane Cremona Maps |
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| Предметный указатель |
Admissible of decreasing multiplicities 56
Admissible ordering 4
Arithmetic quadratic transformation 130
Base of a linear system 16
Base point 30
Birational map of surfaces 1
Bisimple plane Cremona map 30
Blowing-up, of a cluster 4
Blowing-up, of a point 2
Characteristic 31
Characteristic matrix 46
Cluster 3
Cluster, consistent 7
Cluster, underlying 4
Cluster, weighted 4
Complete linear system 1
complexity 232
Consistent cluster 7
Contractile curve 44
Corresponding, curves 26
Corresponding, non-expansive base points 35
de Jonquieres map 56
Degree of a birational map 30
Dimension of a linear system 1
Effective, multiplicity 5
Effective, value 12
Enriques diagram 6
Equations of condition 51
Equivalence, equation 51
Equivalence, of weighted clusters 17
Exceptional, divisor 2 5
Exceptional, type 159
Exceptional, type, improper 159
Exceptional, type, proper 159
Excess 7
Expansive base point 35
Expected curve 208
First infinitesimal neighbourhood 3
Fixed component of a curve 1
Fixed part of a linear system 1
Free point 6
Fundamental point 1
Generic curve 1
Genus equation 51
Going through a cluster, virtually 12
Going through a cluster, with effective multiplicities equal to the virtual ones 12
Homaloidal type, improper 130
Homaloidal type, proper 130
Homaloidal, curve 30
Homaloidal, special 196
Homaloidal, special, net 30
Homaloidal, special, type 130
Hudson's test 134
Image 2
Image, direct 2
Improper, exceptional type 159
Improper, homaloidal type 130
Incidence matrix 106
Increasing values 18
Independent conditions 18
Infinitely near point 3
Infinitesimal neighbourhood 3
Intersection matrix 12
Inverse of a proper homaloidal type 156
Jacobian of the homaloidal net 93
Linear system 1
Linear system associated to a birational map 23
| Linear, complete 1
Linear, dimension 1
Linear, fixed part 1
Major base points 232
Major triple of 54
Matrix associated to an arithmetic quadratic transformation 152
Maximal point 3
Multiplicity, effective 5
Multiplicity, of a curve at a proper point 2
Multiplicity, of a curve at an infinitely near point 5
Natural ordering 3
Non-expansive base point 35
Non-expected curve 208
Order of singularity 17
Ordering, admissible 4
Ordering, admissible of decreasing multiplicities 56
Ordering, natural 3
Ordinary quadratic transformation 63
Ordinary quadratic transformation, associated to coordinate systems 64
Ordinary quadratic transformation, based on 63
Origin of a cluster 3
Plane Cremona map 29
Point, infinitely near 3
Point, maximal 3
Point, origin 3
Point, preceding 3
Point, proper 3
Postulation equation 51
Preceding point 3
Principal curve 35
Principal part of a curve 66
Principal point 30
Proper point 3
Proper, exceptional type 159
Proper, homaloidal type 130
Proper, homaloidal type, inverse 156
Proximate point 5
Proximity matrix 9
Rational map of surfaces 1
Relevant part 151
Root 171
Root, simple 171
Satellite point 6
Selecting, a point 81
Selecting, a subset 80
Selecting, an ordered subset 80
Self-intersection 17
Simple plane Cremona map 30
Simple root 171
Special homaloidal curve 196
Strict, p-exceptional component 5
Strict, transform 2
Subcluster 3
surface 1
Symmetric map 53
System, of virtual multiplicities 4
System, of virtual values 14
Tame unloading 20
Total, p-exceptional component 5
Total, principal curve 40
Total, transform 2 4
Transform,  -transform 66
Transform, strict 2
Transform, total 2
Transform, virtual 12
Triple of major, indexes 132
Triple of major, points 54
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