Riemann–Roch theorem
Sign in to savetheorem 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
In the Vinony graph
Within Vinony's link graph, Riemann–Roch theorem is referenced by 200 other articles, and connects out to divisor, algebraic curve and Riemann surface.
It sits within the topics Bernhard Riemann, Geometry of divisors and Theorems in algebraic geometry.
Its subject is documented across 13 Wikipedia language editions.
Wikidata facts
- Instance of
- theorem
- Part of
- list of theorems
- Named after
- Gustav Roch
Show 3 more facts
- proved by
- Gustav Roch
- studied by
- algebraic geometry
- maintained by WikiProject
- WikiProject Mathematics
Sources (1)
via Wikidata · CC0
Connections
divisor
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algebraic curve
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Riemann surface
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compact space
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Riemann sphere
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one-form
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canonical bundle
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algebraic geometry and analytic geometry
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mathematics
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International Standard Book Number
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complex number
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Bernhard Riemann
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digital object identifier
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International Standard Serial Number
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conic section
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OCLC, Inc.
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torus
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complex analysis
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algebraic geometry
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Oxford University Press
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