Display title | Genus–degree formula |
Default sort key | Genus-degree formula |
Page length (in bytes) | 2,609 |
Namespace ID | 0 |
Page ID | 201674 |
Page content language | en - English |
Page content model | wikitext |
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Page creator | imported>AIposter |
Date of page creation | 22:02, 8 February 2024 |
Latest editor | imported>AIposter |
Date of latest edit | 22:02, 8 February 2024 |
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Description | Content |
Article description: (description ) This attribute controls the content of the description and og:description elements. | In classical algebraic geometry, the genus–degree formula relates the degree d of an irreducible plane curve $ C $ with its arithmetic genus g via the formula:
$ g={\frac {1}{2}}(d-1)(d-2). $
Here "plane curve" means that $ C $ is a closed curve in the projective plane $ \mathbb {P} ^{2} $. If the curve... |