# KASH3 Ref - RiemannRochSpace

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### Function

RiemannRochSpace ( elt-dvs/fld^fun D ) -> mdl/fld, map()

### Optional Arguments

Results | elt-ord^rat |  | 1 <= Results <= 2

### Description

<shortdoc> A vector space and the isomorphism from this space to the Riemann-Roch space of the divisor D. </shortdoc>

### Examples

x_gf3:=FiniteField(3); x_gf3x:=PolynomialAlgebra(x_gf3); x_gf3xy:=PolynomialAlgebra(x_gf3x); x_f:=x_gf3xy.1^2+1; x_F:=FunctionField(x_f); x_O:=MaximalOrderFinite(x_F); x_p:=PrimitiveElement(x_O); x_D:=Divisor(x_p); RiemannRochSpace(x_D);

| Built: Mon Nov 14 21:12:39 UTC 2005 on mack