Regular Decomposition of Ordinarity in Generic Exponential Sums

Phong Le

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arXiv · 1208.4590

Regular Decomposition of Ordinarity in Generic Exponential Sums

Phong Le

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Abstract

In papers published in 1993 and 2004 Wan establishes a decomposition theory for the generic Newton polygon associated to a family of $L$-functions of $n$-dimensional exponential sums over finite fields. In this work we generalize the star, parallel hyperplane and collapsing decomposition, demonstrating that each is a generalization of a complete regular decomposition.

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Phong Le. 2012-08-22. Regular Decomposition of Ordinarity in Generic Exponential Sums. https://arxiv.org/abs/1208.4590

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