Hui June Zhu's Publication and Papers
- Supersingular abelian varieties over finite fields.
Berkeley thesis (advisor:
Hendrik W. Lenstra, Jr). See the two papers below.
- [pdf]Group
structures of supersingular abelian varieties over finite fields.
J. Number Theory, 81 (2000), 292--309.
- [pdf]Supersingular
abelian varieties over finite fields.
J. Number Theory, 86 (2001), 61--77.
- [pdf]On
the existence of absolutely simple abelian varieties of a given
dimension over an arbitrary field (joint with Everett W. Howe ).
J. Number Theory, 92 (2002), 139--163.
- [pdf]Hyperelliptic
curves in characteristic 2 (joint with Jasper Scholten).
Inter. Math. Research Notices, 17 (2002), 905--917.
- [pdf]First
slope case of
Wan's conjecture (joint with Jasper Scholten).
Finite Fields and their Appl. 8 (2002), 414--419.
- [pdf]Families
of supersingular curves in characteristic 2 (joint with Jasper
Scholten).
Mathematical Research Letters 9 (2002), no. 5-6,
639--650.
- [pdf]p-adic
variation of L functions of one variable exponential sums, I.
American Journal of Mathematics 125 (2003), 669-690.
- [pdf]Slope
estimates on Artin-Schreier curves (joint with Jasper
Scholten).
Compositio Math. 137 (2003), 275--292. (misprints for the paper in print.)
- [pdf]The abc
conjecture and correctly rounded reciprocal square roots. (joint
with Ernie Croot
and Ren-Cang Li).
Theoretical Computer Science 315
(2004), Issues 2-3, 405--417.
(Special issue on Algebraic and
Numerical Algorithms, edited by I.Emiris, B.Mourrain and V.Pan.)
- [pdf]Asymptotic
variation of L functions of one-variable exponential sums.
J. Reine Angew. Math., 572
(2004), 219--233.
- [pdf]Construction
of some families of 2-dimensional crystalline representations. (joint
with Laurent Berger and Hanfeng Li).
Mathematische Annalen 329
(2004), no.2, 365--377.
- [pdf] L-functions of
exponential sums over one-dimensional
affinoids : Newton over Hodge.
Inter. Math. Research Notices. 2004, no 30, (2004), 1529--1550.
- [pdf] Zeta functions of
totally ramified p-covers of the
projective
line (joint with Hanfeng Li). Rend.
Sem. Mat. Univ. Padova 113 (2005),
203--225.
- [pdf]
Hyperelliptic curves over F_2 of every 2-rank without extra
automorphisms.
Proc. Amer. Math. Soc. 134 (2006), 323--331 .
- [pdf] p-rank stratification of
Artin-Schreier curves
(joint with Rachel
Pries).
arXiv:math.NT/0609657.
- [pdf]
Hodge-Stickelberger polygons for L-functions of exponential sums of
P(x^s) (joint with Regis Blache and Eric Ferard). Mathematical
Research
Letters. Vol 15, issue 5, September 2008, 1053--1071.
- [pdf]
Crystalline representations of G_Qp^a with coefficients.
arXiv:0807.1078.[math.NT]
- [pdf] Some families
of supersingular
Artin-Schreier curves in characteristic >2.
arXiv:0809.0104.[math.NT]
(Local versions are usually updated, with mistakes corrected. This page
is not updated somehow.)
MathReviews of my papers at AMS: