6 citations · 26 across the 19 of their papers we have counts for
21 papers
Generically Ordinary One-parameter Hyperelliptic Families are Dense
Hui June Zhu
Let d=2g+1>4 and let A^{d-1} be the coefficient space parametrizing hyperelliptic families C_a: y^2 = x^d + a_{d-1}x^{d-1} + ... + a_1x+t over the t-line. We show that for a Zarisk…
Construction of Generically Ordinary Families of Hyperelliptic Curves
Hui June Zhu
Katz conjectured in a 2018 lecture that the family of curves over the -line is generically ordinary for all sufficiently large primes . We prove that, for ever…
On slopes of -functions of -covers over the projective line
Michiel Kosters, Hui June Zhu
Let be a -cover of the projective line over a finite field of cardinality and charac…
Generic Newton Slopes for Artin-Schreier-Witt Tower in two variables
Hui June Zhu
We prove that for any generic polynomial in two variables of degree over the rationals, for large enough the Newton slopes of the character power series $C_f^*(…
On a theorem of Ax and Katz
Hui June Zhu
The well-known theorem of Ax and Katz gives a p-divisibility bound for the number of rational points on an algebraic variety V over a finite field of characteristic p in terms of t…
Generic A-family of exponential sums
Hui June Zhu
In this paper we construct a generating polynomial over the rationals for the generic Newton polygon for the L function of exponential sums of the family of f = x^d+ a x^s paramete…