Riemann–Roch theorem (Q379048)
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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Current Data About Riemann–Roch theorem
(P31) (Q65943)

(P138) (Q42299)

(Q27627)

(P361) (Q944443)
(P407)

(P1318) (Q27627)
(P585) +1865-00-00T00:00:00Z

(P2384) (Q5155294)

(P2534) \dim\operatorname H^0(\Sigma,L)-\dim\operatorname H^1(\Sigma,L)=\deg(L)+1-g(\Sigma)

(P2579) (Q180969)

(P6104) (Q8487137)

(P7235) \Sigma
(P9758)

L
(P9758)

g
(P9758)

\deg
(P9758)

\operatorname H
(P9758)

\dim
(P9758)

other details
description 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

External Links
(P646) /m/01krvf
(P6366) 2777639948
(P6781) Riemann-Roch_Theorem
(P10376) mathematics/riemann-roch-theorem