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D.5.7 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:
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