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Amílcar Pacheco
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All published works
Action
Title
Year
Authors
+
Erratum: An Analogue of the Brauer–Siegel Theorem for Abelian Varieties in Positive Characteristic
2022
Marc Hindry
Amílcar Pacheco
+
Hauteur et torsion des modules de Drinfeld de rang 2
2017
Aurélien Galateau
Amílcar Pacheco
+
An Analogue of the Brauer–Siegel Theorem for Abelian Varieties in Positive Characteristic
2016
Marc Hindry
Amílcar Pacheco
+
PDF
Chat
Sur le rang des variétés abéliennes sur un corps de fonctions
2015
Amílcar Pacheco
+
PDF
Chat
Erratum to: Normal subgroups of the algebraic fundamental group of affine curves in positive characteristic
2014
Amílcar Pacheco
Katherine Stevenson
Pavel Zalesskii
+
Rational points of Jacobian varieties in pro-ℓ towers of function fields
2013
Amílcar Pacheco
+
PDF
Chat
Rational points on curves over function fields
2013
Amílcar Pacheco
Fabien Pazuki
+
Rational points on curves over function fields
2013
Amílcar Pacheco
Fabien Pazuki
+
PDF
Chat
Rational points on curves over function fields
2013
Amílcar Pacheco
Fabien Pazuki
+
Rational points on curves over function fields
2012
Amílcar Pacheco
Fabien Pazuki
+
Normal subgroups of fundamental groups of affine curves in positive characteristic II
2010
Amílcar Pacheco
Pavel Zalesskii
Katherine Stevenson
+
PDF
Chat
Corrigendum to ``Distribution of the traces of Frobenius on elliptic curves over function fields'' (Acta Arith. 106 (2003), 255–263)
2010
Amílcar Pacheco
+
LE PROBLÈME DE LEHMER ABÉLIEN POUR UN MODULE DE DRINFEL'D
2008
Sinnou David
Amílcar Pacheco
+
PDF
Chat
Normal subgroups of the algebraic fundamental group of affine curves in positive characteristic
2008
Amílcar Pacheco
Katherine Stevenson
Pavel Zalesskii
+
PDF
Chat
Selmer groups of abelian varieties in extensions of function fields
2008
Amílcar Pacheco
+
Normal subgroups of the algebraic fundamental group of affine curves in positive characteristic
2007
Amílcar Pacheco
Pavel Zalesski
Katherine Stevenson
+
Normal subgroups of the algebraic fundamental group of affine curves in positive characteristic
2007
Amílcar Pacheco
Pavel Zalesski
Katherine Stevenson
+
Selmer groups of abelian varieties in extensions of function fields
2006
Amílcar Pacheco
+
PDF
Chat
On the rank of abelian varieties over function fields
2005
Amílcar Pacheco
+
PDF
Chat
Fibrations et conjecture de Tate
2005
Marc Hindry
Amílcar Pacheco
Rania Wazir
+
PDF
Chat
Sur le rang des jacobiennes sur un corps de fonctions
2005
Marc Hindry
Amílcar Pacheco
+
On the rank of abelian varieties over function fields
2004
Amílcar Pacheco
+
Sur le rang des Jacobiennes sur un corps de fonctions
2003
Marc Hindry
Amílcar Pacheco
+
On the variation of the rank of Jacobian varieties on unramified abelian towers over number fields
2003
Amílcar Pacheco
+
Fibrations et conjecture de Tate
2003
Marc Hindry
Amílcar Pacheco
Rania Wazir
+
PDF
Chat
Distribution of the traces of Frobenius on elliptic curves over function fields
2003
Amílcar Pacheco
+
Sur le rang des Jacobiennes sur un corps de fonctions
2003
Marc Hindry
Amílcar Pacheco
+
A note on Galois modules and the algebraic fundamental group of projective curves
2002
Amílcar Pacheco
+
Distribution of the traces of Frobenius on elliptic curves over function fields
2001
Amílcar Pacheco
+
Analogues of Lehmer's conjecture in positive characteristic
2000
Amílcar Pacheco
+
Idempotent relations and fundamental groups of curves
2000
Amílcar Pacheco
+
Idempotent relations and generalized p-ranks of curves
2000
Amílcar Pacheco
+
PDF
Chat
Finite quotients of the algebraic fundamental group of projective curves in positive characteristic
2000
Amílcar Pacheco
Katherine Stevenson
+
Analogues of Lehmer's conjecture in positive characteristic
2000
Amílcar Pacheco
+
PDF
Chat
Integral points on elliptic curves over function fields of positive characteristic
1998
Amílcar Pacheco
+
Rational Points on Igusa Curves andL-Functions of Symmetric Representations
1996
Amílcar Pacheco
+
PDF
Chat
A Note on Relations Between the Zeta-Functions of Galois Coverings of Curves Over Finite Fields
1990
Amílcar Pacheco
+
The trace of the cartier operator and character sums
1990
Amílcar Pacheco
Common Coauthors
Coauthor
Papers Together
Marc Hindry
7
Katherine Stevenson
6
Fabien Pazuki
4
Pavel Zalesskii
3
Rania Wazir
2
Pavel Zalesski
2
Aurélien Galateau
1
Sinnou David
1
Commonly Cited References
Action
Title
Year
Authors
# of times referenced
+
Fundamentals of Diophantine Geometry
1983
Serge Lang
6
+
PDF
Chat
Algebraic number theory
1999
Kazuya Katô
Nobushige Kurokawa
Takeshi Saito
5
+
PDF
Chat
Finite quotients of the algebraic fundamental group of projective curves in positive characteristic
2000
Amílcar Pacheco
Katherine Stevenson
5
+
Good Reduction of Abelian Varieties
1968
Jean-Pierre Serre
John Tate
5
+
Algebraic cycles and poles of zeta functions
1965
John Tate
4
+
ℓ-adic algebraic monodromy groups, cocharacters, and the MumfordTate conjecture
1998
Richard Pink
4
+
Cohomology of Abelian Varieties Over Function Fields
1962
A. P. Ogg
4
+
Abhyankar's conjecture on Galois groups over curves
1994
David Harbater
3
+
PDF
Chat
Introduction to Analytic Number Theory
1976
Tom M. Apostol
3
+
Embedding problems with local conditions
2000
David Harbater
3
+
Chow's K/k-image and K/k-trace, and the Lang-Neron theorem
2006
Brian Conrad
3
+
PDF
Chat
Relations Between the Genera and Between the Hasse-Witt Invariants of Galois Coverings of Curves
1985
Ernst Kani
3
+
Hauteurs canoniques et modules de drinfeld
1992
Laurent Denis
3
+
EULER CHARACTERISTICS AS INVARIANTS OF IWASAWA MODULES
2002
Susan Howson
3
+
The rank of elliptic surfaces in unramified abelian towers
2004
Joseph H. Silverman
3
+
Propri�t�s galoisiennes des points d'ordre fini des courbes elliptiques
1971
Jean-Pierre Serre
3
+
Complex multiplication of Abelian varieties and its applications to number theory
1961
五郎 志村
豊 谷山
3
+
PDF
Chat
Selmer groups and Mordell–Weil groups of elliptic curves over towers of function fields
2006
Jordan S. Ellenberg
3
+
PDF
Chat
The Arithmetic of Elliptic Curves
1986
Joseph H. Silverman
3
+
Galois Groups of Unramified Covers of Projective Curves in Characteristicp
1996
Katherine Stevenson
3
+
PDF
Chat
On Generalized Hasse–Witt Invariants of an Algebraic Curve
2018
Shōichi Nakajima
2
+
Profinite surface groups and the congruence kernel of arithmetic lattices in SL2 (R)
2005
Pavel Zalesskii
2
+
Local height functions and the Mordell-Weil theorem for Drinfeld modules
1995
Bjorn Poonen
2
+
A quantitative version of Siegel's theorem: integral points on elliptic curves and Catalan curves.
1987
Joseph H. Silverman
2
+
On the conjectures of Birch and Swinnerton-Dyer and a geometric analog
1966
John Tate
2
+
PDF
Chat
A relative Shafarevich theorem
2004
Niels Borne
2
+
La conjecture de Weil. I
1974
Pierre Deligne
2
+
Extensions of Vector Groups by Abelian Varieties
1958
Maxwell Rosenlicht
2
+
On the rank of an elliptic surface
1998
Michael Rosen
Joseph H. Silverman
2
+
ℚ(T)-rank of elliptic curves and certain limit coming from the local points
1997
Koh-ichi Nagao
2
+
PDF
Chat
Arithmetic on elliptic threefolds
2004
Rania Wazir
2
+
A Brief Introduction to Drinfeld Modules
1992
David R. Hayes
2
+
A Lower Bound for the Height in Abelian Extensions
2000
Francesco Amoroso
Roberto Dvornicich
2
+
PDF
Chat
Ordinary reduction of K3 surfaces
2009
Fedor Bogomolov
Yuri G. Zarhin
2
+
The canonical height and integral points on elliptic curves
1988
Marc Hindry
Joseph H. Silverman
2
+
Abelian l-Adic Representations and Elliptic Curves
1997
Jean-Pierre Serre
2
+
PDF
Chat
A lower bound for the canonical height on abelian varieties over abelian extensions
2004
Matthew Baker
Joseph H. Silverman
2
+
Advanced Topics in the Arithmetic of Elliptic Curves
1994
Joseph H. Silverman
2
+
PDF
Chat
Borne sur la torsion dans les variétés abéliennes de type CM
2007
Nicolas Ratazzi
2
+
PDF
Chat
On the rank of abelian varieties over function fields
2005
Amílcar Pacheco
2
+
PDF
Chat
Sur le rang des jacobiennes sur un corps de fonctions
2005
Marc Hindry
Amílcar Pacheco
2
+
Zur Arithmetik von Drinfeld-Moduln
1983
Ernst-Ulrich Gekeler
2
+
PDF
Chat
Good reduction of elliptic modules
1982
Toyofumi Takahashi
2
+
Unramified Galois Coverings of Algebraic Curves
1995
Ana Beatriz Furlanetto Pacheco
2
+
PDF
Chat
Fibrations et conjecture de Tate
2005
Marc Hindry
Amílcar Pacheco
Rania Wazir
2
+
Class groups and L-series of function fields
1986
H.-G. Rück
2
+
PDF
Chat
Character theory of finite groups
1999
I. M. Isaacs
2
+
Kummer theory for abelian varieties over local fields
1996
J. Coates
Ralph Greenberg
2
+
Local Galois theory in dimension two
2005
David Harbater
Katherine Stevenson
2
+
Arithmetic moduli of elliptic curves
1985
Nicholas M. Katz
Barry Mazur
2