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projective curve (Definition)

A projective curve over a field $k$ is an equidimensional projective variety over $k$ of dimension 1. In other words, each of the irreducible components of this variety must have dimension 1.



"projective curve" is owned by Mathprof. [ full author list (2) | owner history (1) ]
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See Also: algebraic geometry


Attachments:
Faltings' theorem (Theorem) by alozano
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Cross-references: variety, irreducible components, dimension, projective variety, field
There are 9 references to this entry.

This is version 4 of projective curve, born on 2002-06-01, modified 2006-09-16.
Object id is 2985, canonical name is ProjectiveCurve.
Accessed 3455 times total.

Classification:
AMS MSC: 14H99 (Algebraic geometry :: Curves :: Miscellaneous)
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