On the Riemann-Roch theorem for orders in the ring of valuation vectors of a function field
The author obtains a Riemann-Roch theorem for algebraic curves with singularities generalizing one of Rosenlicht for the Gorenstein case. The point of view adopted is that of the ring of repartitions or valuation vectors, and curves are treated as not necessarily maximal orders in this ring. The author remarks that his method generalizes to the ring of valuation vectors associated with central simple algebras over a function field.
Riemann-Roch theorem for algebraic curves with singularities
scientific article; zbMATH DE number 4123890
scientific article