Title: Slope estimates on Artin-Schreier curves
Authors: Scholten, Jasper ×
Zhu, HJ #
Issue Date: 2003
Publisher: Springer Netherlands
Series Title: Compositio Mathematica vol:137 issue:3 pages:275-292
Abstract: Let X/(F) over bar (p) be an Artin-Schreier curve defined by the affine equation y(p) - y = (f) over tilde (x) where (f) over tilde (x) 2 (F) over bar (p)[x] is monic of degree d. In this paper we develop a method for estimating the first slope of the Newton polygon of X. Denote this first slope by NP1(X/(F) over bar (p))). We use our method to prove that if p > d greater than or equal to 2 then NP1(X/(F) over bar (p)) greater than or equal to inverted right perpendicular (p -1)/d inverted left perpendicular/(p - 1). If p > 2d greater than or equal to 4, we give a sufficient condition for the equality to hold.
ISSN: 0010-437X
Publication status: published
KU Leuven publication type: IT
Appears in Collections:ESAT - STADIUS, Stadius Centre for Dynamical Systems, Signal Processing and Data Analytics
× corresponding author
# (joint) last author

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