On the Riemann-Roch theorem for orders in the ring of valuation vectors of a function field
type: Item
instance of: scholarly article
title: On the Riemann-Roch theorem for orders in the ring of valuation vectors of a function field
zbMATH Open document ID: 0686.14034
DOI: 10.1007/BF01169340
published in: Manuscripta Mathematica
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/155281
review text: 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.
reviewed by: G. Horrocks
Mathematics Subject Classification ID: 14H20
Mathematics Subject Classification ID: 14C40
Mathematics Subject Classification ID: 11R58
zbMATH DE Number: 4123890
zbMATH Keywords: valuation vector
zbMATH Keywords: repartition
zbMATH Keywords: Riemann-Roch theorem for algebraic curves with singularities
author: Barry W. Green
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4123890