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arXiv · 1802.07083

Support of Laurent series algebraic over the field of formal power series

Fuensanta Aroca·Guillaume Rond
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Abstract

This work is devoted to the study of the support of a Laurent series in several variables which is algebraic over the ring of power series over a characteristic zero field. Our first result is the existence of a kind of maximal dual cone of the support of such a Laurent series. As an application of this result we provide a gap theorem for Laurent series which are algebraic over the field of formal power series. We also relate these results to diophantine properties of the fields of Laurent series.

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BibTeXRIS

Fuensanta Aroca, Guillaume Rond. 2018-02-20. Support of Laurent series algebraic over the field of formal power series. https://doi.org/10.1112/plms.12188

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