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arXiv:0810.4112 [math.AG]AbstractReferencesReviewsResources

Sums of residues on algebraic surfaces and application to coding theory

Alain Couvreur

Published 2008-10-22Version 1

In this paper, we study residues of differential 2-forms on a smooth algebraic surface over an arbitrary field and give several statements about sums of residues. Afterwards, using these results we construct algebraic-geometric codes which are an extension to surfaces of the well-known differential codes on curves. We also study some properties of these codes and extend to them some known properties for codes on curves.

Comments: 31 pages
Journal: Journal of Pure and Applied Algebra, vol 213 number 12, pages 2201-2223, 2009
Categories: math.AG, cs.IT, math.IT
Subjects: 14J99, 14J20, 14G50, 94B27
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