Wikidata

(Q379048)

English

Riemann–Roch theorem

theorem that the Euler characteristic of the sheaf cohomology of a holomorphic line bundle on a Riemann surface equals the degree of the bundle plus half of the Euler characteristic of the surface

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Statements

instance of
theorem
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named after
Bernhard Riemann
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Gustav Roch
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defining formula
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in defining formula
symbol represents
compact Riemann surface
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symbol represents
line bundle
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symbol represents
genus
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symbol represents
degree of a vector bundle
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symbol represents
sheaf cohomology
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symbol represents
dimension of a vector space
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proved by
Gustav Roch
point in time
1865
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Identifiers

 
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