English

Regular Decomposition of Ordinarity in Generic Exponential Sums

Number Theory 2012-12-27 v2

Abstract

In papers published in 1993 and 2004 Wan establishes a decomposition theory for the generic Newton polygon associated to a family of LL-functions of nn-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.

Keywords

Cite

@article{arxiv.1208.4590,
  title  = {Regular Decomposition of Ordinarity in Generic Exponential Sums},
  author = {Phong Le},
  journal= {arXiv preprint arXiv:1208.4590},
  year   = {2012}
}

Comments

arXiv admin note: text overlap with arXiv:math/9905216 by other authors. Changed the word Coherent to Regular. Fixed small issues with the references