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
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