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Genetics of polynomials over local fields

Author
Guàrdia, J.; Nart, E.
Type of activity
Journal article
Journal
Contemporary mathematics
Date of publication
2015
Volume
637
First page
207
Last page
241
DOI
https://doi.org/10.1090/conm/637 Open in new window
Repository
http://hdl.handle.net/2117/28206 Open in new window
Abstract
Let (K, v) be a discrete valued field with valuation ring O, and let Ov be the completion of O with respect to the v-adic topology. In this paper we discuss the advantages of manipulating polynomials in Ov[x] on a computer by means of OM representations of prime (monic and irreducible) polynomials. An OM representation supports discrete data characterizing the Okutsu equivalence class of the prime polynomial. These discrete parameters are a kind of DNA sequence common to all individuals in the s...
Citation
Guàrdia, J.; Nart, E. Genetics of polynomials over local fields. "Contemporary mathematics", 2015, vol. 637, p. 207-241.
Group of research
TN - Number Theory Research Group

Participants

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