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Projective variety
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Mathematics
Area of mathematics
Geometry and topology
Algebraic geometry
Algebraic variety
Projective space
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Words: 313
Articles: 13
A projective variety is a closed algebraic subvariety of some projective space.
Table of contents
313
13
Projective dimension theorem
Projective variety
26
Projective curve
Projective variety
7
Homogeneous coordinate ring
Projective variety
12
Product of projective varieties
Projective variety
145
5
Coordinate projection
Product of projective varieties
24
Segre embedding
Product of projective varieties
15
Smooth quadric surface
Product of projective varieties
83
2
Rulings of a smooth quadric surface
Smooth quadric surface
57
1
Disjoint curves on a smooth quadric surface
Rulings of a smooth quadric surface
17
Smooth projective curve
Projective variety
111
3
Local ring of a smooth algebraic curve
Smooth projective curve
19
Extension of a rational map from a smooth projective curve
Smooth projective curve
80
1
Failure of rational-map extension on a singular curve
Extension of a rational map from a smooth projective curve
39
Ancestors
(7)
Projective space
Algebraic variety
Algebraic geometry
Geometry and topology
Area of mathematics
Mathematics
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(8)
Coordinate projection
Extension of a rational map from a smooth projective curve
Solution
Solution
Solution
Solution
Projective curve
Segre embedding