Singular Manual: hess_lib

> | ### D.15.16 hess_lib Library: hess.lib Purpose: Riemann-Roch space of divisors on function fields and curves Authors: I. Stenger: stenger@mathematik.uni-kl.de Overview: Let f be an absolutely irreducible polynomial in two variables x,y. Assume that f is monic as a polynomial in y. Let F = Quot(k[x,y]/f) be the function field defined by f. Define O_F = IntCl(k[x],F) and O_(F,inf) = IntCl(k[1/x],F). We represent a divisor D on F by two fractional ideals I and J of O_F and O_(F,inf), respectively. The Riemann-Roch space L(D) is then the intersection of I^(-1) and J^(-1). Procedures:
> D.15.16.1 RiemannRochHess |  | Computes a vector space basis of the Riemann-Roch space of a divisor

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