Riemann-Roch theorem for curves

Let C be a projective nonsingular curve over an algebraically closed field. If D is a divisor on C, then


where g is the genus of the curve, and K is the canonical divisor ((K)=g). Here (D) denotes the dimension of the http://planetmath.org/node/SpaceOfFunctionsAssociatedToADivisorspace of functions associated to a divisor.

Title Riemann-Roch theorem for curves
Canonical name RiemannRochTheoremForCurves
Date of creation 2013-03-22 12:03:05
Last modified on 2013-03-22 12:03:05
Owner mathcam (2727)
Last modified by mathcam (2727)
Numerical id 12
Author mathcam (2727)
Entry type Theorem
Classification msc 19L10
Classification msc 14H99
Related topic HurwitzGenusFormula