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- Chasles–Cayley–Brill_formula abstract "In algebraic geometry, the Chasles–Cayley–Brill formula (also known as the Cayley-Brill formula) states that a correspondence T of valence k from an algebraic curve C of genus g to itself has d + e + 2kg united points, where d and e are the degrees of T and its inverse.Michel Chasles introduced the formula for genus g = 0, Arthur Cayley stated the general formula without proof, and Alexander von Brill gave the first proof.The number of united points of the correspondence is the intersection number of the correspondence with the diagonal Δ of C×C.The correspondence has valence k if and only if it is homologous to a linear combination a(C×1) + b(1×C) – kΔ where Δ is the diagonal of C×C. The Chasles–Cayley–Brill formula follows easily from this together with the fact that the self-intersection number of the diagonal is 2 – 2g.".
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- Chasles–Cayley–Brill_formula wikiPageWikiLink Alexander_von_Brill.
- Chasles–Cayley–Brill_formula wikiPageWikiLink Algebraic_function.
- Chasles–Cayley–Brill_formula wikiPageWikiLink Algebraic_geometry.
- Chasles–Cayley–Brill_formula wikiPageWikiLink Arthur_Cayley.
- Chasles–Cayley–Brill_formula wikiPageWikiLink Category:Algebraic_curves.
- Chasles–Cayley–Brill_formula wikiPageWikiLink Category:Theorems_in_algebraic_geometry.
- Chasles–Cayley–Brill_formula wikiPageWikiLink Dover_Publications.
- Chasles–Cayley–Brill_formula wikiPageWikiLink Genus_(mathematics).
- Chasles–Cayley–Brill_formula wikiPageWikiLink John_Wiley_&_Sons.
- Chasles–Cayley–Brill_formula wikiPageWikiLink Michel_Chasles.
- Chasles–Cayley–Brill_formula wikiPageWikiLink United_points.
- Chasles–Cayley–Brill_formula wikiPageWikiLinkText "Chasles–Cayley–Brill formula".
- Chasles–Cayley–Brill_formula hasPhotoCollection Chasles–Cayley–Brill_formula.
- Chasles–Cayley–Brill_formula wikiPageUsesTemplate Template:Citation.
- Chasles–Cayley–Brill_formula subject Category:Algebraic_curves.
- Chasles–Cayley–Brill_formula subject Category:Theorems_in_algebraic_geometry.
- Chasles–Cayley–Brill_formula comment "In algebraic geometry, the Chasles–Cayley–Brill formula (also known as the Cayley-Brill formula) states that a correspondence T of valence k from an algebraic curve C of genus g to itself has d + e + 2kg united points, where d and e are the degrees of T and its inverse.Michel Chasles introduced the formula for genus g = 0, Arthur Cayley stated the general formula without proof, and Alexander von Brill gave the first proof.The number of united points of the correspondence is the intersection number of the correspondence with the diagonal Δ of C×C.The correspondence has valence k if and only if it is homologous to a linear combination a(C×1) + b(1×C) – kΔ where Δ is the diagonal of C×C. ".
- Chasles–Cayley–Brill_formula label "Chasles–Cayley–Brill formula".
- Chasles–Cayley–Brill_formula sameAs m.0j46czw.
- Chasles–Cayley–Brill_formula sameAs Q5087368.
- Chasles–Cayley–Brill_formula sameAs Q5087368.
- Chasles–Cayley–Brill_formula wasDerivedFrom Chasles–Cayley–Brill_formula?oldid=637656528.
- Chasles–Cayley–Brill_formula isPrimaryTopicOf Chasles–Cayley–Brill_formula.