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arXiv · 0810.4112

Sums of residues on algebraic surfaces and application to coding theory

Alain Couvreur
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Abstract

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.

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Alain Couvreur. 2008-10-22. Sums of residues on algebraic surfaces and application to coding theory. https://arxiv.org/abs/0810.4112

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