Integral points for groups of multiplicative type

Dasheng Wei, Fei Xu

Type: Article

Publication Date: 2012-10-16

Citations: 23

DOI: https://doi.org/10.1016/j.aim.2012.09.019

View Publication

Download PDF

Locations

Advances in Mathematics - View
arXiv (Cornell University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Integral Points for Groups of Multiplicative Type	2010	Dasheng Wei Fei Xu
+	Comparing descent obstruction and Brauer-Manin obstruction for open varieties	2016	Yang Cao Cyril Demarche Fei Xu
+	Finite groups in integral group rings	2018	Ángel del Rı́o
+	On Brauer–Manin obstruction to the Hasse principle and weak approximation for homogeneous spaces under connected reductive groups over global fields	2024	Nguyêñ Quôć Thăńg
+	Finite groups in integral group rings	2018	Ángel del Rı́o
+	Arithmetic purity of strong approximation for homogeneous spaces	2017	Yang Cao Yongqi Liang Fei Xu
+ PDF Chat	Brauer–Manin obstruction for integral points of homogeneous spaces and representation by integral quadratic forms	2009	Jean-Louis Colliot-Thélène Fei Xu
+	Strong approximation with Brauer-Manin obstruction for varieties with action of linear algebraic groups	2015	Yang Cao Fei Xu
+	Arithmetic purity of strong approximation for homogeneous spaces	2019	Yang Cao Yongqi Liang Fei Xu
+	Algebraic Geometry over Free Groups: Lifting Solutions into Generic Points	2004	Olga Kharlampovich Alexei Myasnikov
+	Strong approximation for certain quadric fibrations with compact fibers	2014	Fei Xu
+	Vanishing of algebraic Brauer-Manin obstructions	2010	Mikhail Borovoi
+	Vanishing of algebraic Brauer-Manin obstructions	2010	Mikhail Borovoi
+ PDF Chat	Variations on the Theme of Zariski’s Cancellation Problem	2020	Vladimir L. Popov
+	Lifting of the automorphism group of the polynomial algebras	2012	Alexei Kanel-Belov Jie-Tai Yu
+	Vanishing of the algebraic Brauer-Manin obstruction	2010	Mikhail Borovoi
+	Strong approximation for certain quadric fibrations with compact fibers	2015	Fei Xu
+	On additive groups of free objects in varieties of integral group represenstation	1995	Alexei Krasilnikov
+ PDF Chat	Brauer–Manin obstruction for integral points on Markoff-type cubic surfaces	2023	Quang-Duc Dao
+ PDF Chat	Comparing descent obstruction and Brauer-Manin obstruction for open varieties	2018	Yang Cao Cyril Demarche Fei Xu

Works That Cite This (23)

Action	Title	Year	Authors
+	Strong approximation for a toric variety	2014	Dasheng Wei
+ PDF Chat	On the Integral Representation of Binary Quadratic Forms and the Artin Condition	2018	Yingpu Deng Chang Lv Junchao Shentu
+	Arithmetic purity of strong approximation	2017	Yang Cao Yongqi Liang Fei Xu
+	Arithmetic purity of strong approximation for homogeneous spaces	2017	Yang Cao Yongqi Liang Fei Xu
+ PDF Chat	Rational points and zero-cycles on rationally connected varieties over number fields	2018	Olivier Wittenberg
+	On the Integral Representation of Binary Quadratic Forms and the Artin Condition	2015	Chang Lv Junchao Shentu Yingpu Deng
+	Arithmetic purity of strong approximation for homogeneous spaces	2019	Yang Cao Yongqi Liang Fei Xu
+ PDF Chat	Strong approximation and descent	2015	Ulrich Derenthal Dasheng Wei
+	Counting integral points in certain homogeneous spaces	2015	Dasheng Wei Fei Xu
+ PDF Chat	Strong Approximation for a Toric Variety	2021	Da Wei

Works Cited by This (15)

Action	Title	Year	Authors
+ PDF Chat	Primes of the form x<sup>2 </sup>+ ny<sup>2</sup>	2012	K. Raja Rama Gandhi
+	Cohomology of Number Fields	2008	Jürgen Neukirch Alexander Schmidt Kay Wingberg
+	Torsors and Rational Points	2001	Alexei N. Skorobogatov
+ PDF Chat	Le défaut d’approximation forte pour les groupes algébriques commutatifs	2008	David Harari
+	Algebraic groups and number theory	1992	В. П. Платонов Andrei S. Rapinchuk
+ PDF Chat	Arithmetic duality theorems for 1-motives	2009	David Harari Tamás Szamuely
+ PDF Chat	Brauer–Manin obstruction for integral points of homogeneous spaces and representation by integral quadratic forms	2009	Jean-Louis Colliot-Thélène Fei Xu
+	Introduction to Quadratic Forms	1973	O. T. O’Meara
+ PDF Chat	On the sum of two integral squares in certain quadratic fields	1961	Trygve Nagell
+ PDF Chat	Integers of quadratic fields as sums of squares	1940	Ivan Niven