Edit Profile Gonzalez-Avilés, Cristian D. Compute Distance To: Compute Author ID: gonzalez-aviles.cristian-d Published as: Gonzalez-Avilés, Cristian D.; González-Avilés, Cristian D. External Links: MGP · Wikidata Documents Indexed: 30 Publications since 1997 Reviewing Activity: 28 Reviews Co-Authors 22 single-authored 4 Bertapelle, Alessandra 3 Tan, Ki-Seng 1 Borovoi, Mikhail V. all top 5 Serials 5 Mathematical Research Letters 4 Journal für die Reine und Angewandte Mathematik 3 Israel Journal of Mathematics 3 Central European Journal of Mathematics 2 Journal of Pure and Applied Algebra 2 European Journal of Mathematics 1 Acta Arithmetica 1 Functiones et Approximatio. Commentarii Mathematici 1 Journal of Algebra 1 Journal of Number Theory 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Journal of the Ramanujan Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Expositiones Mathematicae 1 International Journal of Number Theory all top 5 Fields 26 Algebraic geometry (14-XX) 21 Number theory (11-XX) 6 Group theory and generalizations (20-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 23 Publications have been cited 92 times in 61 Documents Cited by ▼ Year ▼ Quasi-abelian crossed modules and nonabelian cohomology. Zbl 1292.14016González-Avilés, Cristian D. 13 2012 A generalization of the Cassels-Tate dual exact sequence. Zbl 1142.11045González-Avilés, Cristian D.; Tan, Kiseng 10 2007 Abelian class groups of reductive group schemes. Zbl 1278.14064González-Avilés, Cristian D. 6 2013 Flasque resolutions of reductive group schemes. Zbl 1273.14090González-Avilés, Cristian D. 6 2013 Arithmetic duality theorems for 1-motives over function fields. Zbl 1172.14028González-Avilés, Cristian D. 6 2009 On the conjecture of Birch and Swinnerton-Dyer. Zbl 0918.11037Gonzalez-Avilés, Cristian D. 6 1997 The Greenberg functor revisited. Zbl 1446.11123Bertapelle, Alessandra; González-Avilés, Cristian D. 5 2018 The algebraic fundamental group of a reductive group scheme over an arbitrary base scheme. Zbl 1291.14066Borovoi, Mikhail; González-Avilés, Cristian D. 5 2014 Capitulation, ambiguous classes and the cohomology of the units. Zbl 1226.11122González-Avilés, Cristian D. 5 2007 On the Hasse principle for finite group schemes over global function fields. Zbl 1297.11069González-Avilés, Cristian D.; Tan, Ki-Seng 4 2012 On Néron-Raynaud class groups of tori and the capitulation problem. Zbl 1230.11137González-Avilés, Cristian D. 4 2010 Chevalley’s ambiguous class number formula for an arbitrary torus. Zbl 1175.11067González-Avilés, Cristian D. 4 2008 On the perfection of schemes. Zbl 1427.14004Bertapelle, Alessandra; González-Avilés, Cristian D. 3 2018 On Néron class groups of abelian varieties. Zbl 1242.14021González-Avilés, Cristian D. 3 2012 The generalized Cassels-Tate dual exact sequence for 1-motives. Zbl 1215.11064González-Avilés, Cristian D.; Tan, Ki-Seng 2 2009 Finite modules over non-semisimple group rings. Zbl 1086.20005Gonzalez-Avilés, Cristian D. 2 2004 On Tate-Shafarevich groups of abelian varieties. Zbl 0982.11036Gonzalez-Avilés, Cristian D. 2 2000 The norm map and the capitulation kernel. Zbl 07063104González-Avilés, Cristian D. 1 2019 The units-Picard complex and the Brauer group of a product. Zbl 1401.14108González-Avilés, Cristian D. 1 2018 On the group of units and the Picard group of a product. Zbl 1390.14062González-Avilés, Cristian D. 1 2017 On the cohomology of tori over local fields with perfect residue field. Zbl 1329.11030Bertapelle, Alessandra; González-Avilés, Cristian D. 1 2015 Algebraic cycles on Severi-Brauer schemes of prime degree over a curve. Zbl 1146.14006González-Avilés, Cristian D. 1 2008 On the Hasse principle for zero-cycles on Severi-Brauer fibrations. Zbl 1098.14005González-Avilés, Cristian D. 1 2005 The norm map and the capitulation kernel. Zbl 07063104González-Avilés, Cristian D. 1 2019 The Greenberg functor revisited. Zbl 1446.11123Bertapelle, Alessandra; González-Avilés, Cristian D. 5 2018 On the perfection of schemes. Zbl 1427.14004Bertapelle, Alessandra; González-Avilés, Cristian D. 3 2018 The units-Picard complex and the Brauer group of a product. Zbl 1401.14108González-Avilés, Cristian D. 1 2018 On the group of units and the Picard group of a product. Zbl 1390.14062González-Avilés, Cristian D. 1 2017 On the cohomology of tori over local fields with perfect residue field. Zbl 1329.11030Bertapelle, Alessandra; González-Avilés, Cristian D. 1 2015 The algebraic fundamental group of a reductive group scheme over an arbitrary base scheme. Zbl 1291.14066Borovoi, Mikhail; González-Avilés, Cristian D. 5 2014 Abelian class groups of reductive group schemes. Zbl 1278.14064González-Avilés, Cristian D. 6 2013 Flasque resolutions of reductive group schemes. Zbl 1273.14090González-Avilés, Cristian D. 6 2013 Quasi-abelian crossed modules and nonabelian cohomology. Zbl 1292.14016González-Avilés, Cristian D. 13 2012 On the Hasse principle for finite group schemes over global function fields. Zbl 1297.11069González-Avilés, Cristian D.; Tan, Ki-Seng 4 2012 On Néron class groups of abelian varieties. Zbl 1242.14021González-Avilés, Cristian D. 3 2012 On Néron-Raynaud class groups of tori and the capitulation problem. Zbl 1230.11137González-Avilés, Cristian D. 4 2010 Arithmetic duality theorems for 1-motives over function fields. Zbl 1172.14028González-Avilés, Cristian D. 6 2009 The generalized Cassels-Tate dual exact sequence for 1-motives. Zbl 1215.11064González-Avilés, Cristian D.; Tan, Ki-Seng 2 2009 Chevalley’s ambiguous class number formula for an arbitrary torus. Zbl 1175.11067González-Avilés, Cristian D. 4 2008 Algebraic cycles on Severi-Brauer schemes of prime degree over a curve. Zbl 1146.14006González-Avilés, Cristian D. 1 2008 A generalization of the Cassels-Tate dual exact sequence. Zbl 1142.11045González-Avilés, Cristian D.; Tan, Kiseng 10 2007 Capitulation, ambiguous classes and the cohomology of the units. Zbl 1226.11122González-Avilés, Cristian D. 5 2007 On the Hasse principle for zero-cycles on Severi-Brauer fibrations. Zbl 1098.14005González-Avilés, Cristian D. 1 2005 Finite modules over non-semisimple group rings. Zbl 1086.20005Gonzalez-Avilés, Cristian D. 2 2004 On Tate-Shafarevich groups of abelian varieties. Zbl 0982.11036Gonzalez-Avilés, Cristian D. 2 2000 On the conjecture of Birch and Swinnerton-Dyer. Zbl 0918.11037Gonzalez-Avilés, Cristian D. 6 1997 all cited Publications top 5 cited Publications all top 5 Cited by 57 Authors 15 Gonzalez-Avilés, Cristian D. 4 Bitan, Rony A. 4 Nguyen Quoc Thang 3 Bertapelle, Alessandra 3 Dąbrowski, Andrzej M. 3 Demarche, Cyril 3 Harari, David 3 Szymaszkiewicz, Lucjan 2 Bandini, Andrea 2 Geisser, Thomas H. 2 Longhi, Ignazio 2 Poonen, Bjorn 2 Tan, Ki-Seng 2 Trihan, Fabien 2 Voloch, José Felipe 2 Yu, Hoseog 1 Bars Cortina, Francesc 1 Borovoi, Mikhail V. 1 Cai, Li 1 Candilera, Maurizio 1 Česnavičius, Kęstutis 1 Clark, Peter Louis 1 Colliot-Thélène, Jean-Louis 1 Creutz, Brendan 1 Dejou, Gaelle 1 Douai, Jean-Claude 1 Gras, Georges 1 Izquierdo, Diego 1 Jedrzejak, Tomasz 1 Kriz, Daniel 1 Lacy, Allan 1 Lai, King Fai 1 Lapid, Erez Moshe 1 Lee, Wan 1 Li, Chao 1 Li, Jianing 1 Li, Yongxiong 1 Liu, Qing 1 Mao, Zhengyu 1 Mishra, Manish 1 Ngô Thi Ngoan 1 Ngoan, Ngô Thị 1 Ould Beddi, Mohamed Abdallahi 1 Rains, Eric M. 1 Roblot, Xavier-François 1 Schoof, René 1 Seo, Soogil 1 Suzuki, Takashi 1 Tran, Minh Hoang 1 Valentino, Maria 1 Vooys, Geoff 1 Wang, ZhangJie 1 Washington, Lawrence C. 1 Wittenberg, Olivier 1 Wuthrich, Christian 1 Xu, Fei 1 Yu, Chia-Fu all top 5 Cited in 35 Serials 9 Journal of Number Theory 4 Israel Journal of Mathematics 4 Mathematische Annalen 3 Journal de Théorie des Nombres de Bordeaux 3 Central European Journal of Mathematics 3 International Journal of Number Theory 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Journal of Pure and Applied Algebra 2 Journal für die Reine und Angewandte Mathematik 1 Communications in Algebra 1 Mathematics of Computation 1 Bulletin de la Société Mathématique de France 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Functiones et Approximatio. Commentarii Mathematici 1 Journal of Algebra 1 Nagoya Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Journal of the American Mathematical Society 1 Journal of the Ramanujan Mathematical Society 1 Linear Algebra and its Applications 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Bulletin des Sciences Mathématiques 1 Izvestiya: Mathematics 1 Vietnam Journal of Mathematics 1 Annals of Mathematics. Second Series 1 Journal of the Institute of Mathematics of Jussieu 1 Proceedings of the Steklov Institute of Mathematics 1 Algebra & Number Theory 1 Science China. Mathematics 1 Kyoto Journal of Mathematics 1 Forum of Mathematics, Sigma 1 European Journal of Mathematics 1 Journal de l’École Polytechnique – Mathématiques all top 5 Cited in 8 Fields 50 Number theory (11-XX) 36 Algebraic geometry (14-XX) 12 Group theory and generalizations (20-XX) 4 Category theory; homological algebra (18-XX) 2 Commutative algebra (13-XX) 2 Topological groups, Lie groups (22-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.