Edit Profile (opens in new tab) Xarles, Xavier Co-Author Distance Author ID: xarles.xavier Published as: Xarles, Xavier External Links: MGP Documents Indexed: 27 Publications since 1991, including 5 Additional arXiv Preprints 2 Contributions as Editor Co-Authors: 32 Co-Authors with 22 Joint Publications 569 Co-Co-Authors all top 5 Co-Authors 7 single-authored 4 González-Jiménez, Enrique 3 Raskind, Wayne 2 Bars Cortina, Francesc 2 Giné, Iago 2 Nart, Enric 2 Roé, Joaquim 1 Banús, Damià Rodríguez 1 Bosch, Siegfried 1 Burgos Gil, José Ignacio 1 Cámara, Alberto 1 Cilleruelo, Javier 1 Clark, Peter Louis 1 de Jeu, Rob 1 Demchenko, Oleg Vyacheslavovich 1 Gasull, Armengol 1 Gauthier, Paul M. 1 Gonzalez Rovira, Josep 1 Gualdi, Roberto 1 Guitart, Xavier 1 Gurevich, Aleksandr Petrovich 1 Kalinin, Nikita Sergeevich 1 Kontogeorgis, Aristides I. 1 Lewis, James D. 1 López, Amparo 1 Maisner, Daniel 1 Mañosa, Víctor 1 Masdeu, Marc 1 Naranjo, Juan-Carlos 1 Quirós Gracián, Adolfo 1 Samaniego, Dani 1 Ulirsch, Martin 1 Urbinati, Stefano all top 5 Serials 2 Acta Arithmetica 1 Archiv der Mathematik 1 Canadian Journal of Mathematics 1 Journal of Number Theory 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Proceedings of the London Mathematical Society. Third Series 1 Transactions of the American Mathematical Society 1 Revista Matemática Iberoamericana 1 Journal de Théorie des Nombres de Bordeaux 1 Journal of Mathematical Sciences. University of Tokyo 1 Finite Fields and their Applications 1 Mathematical Research Letters 1 Discrete and Continuous Dynamical Systems 1 The Ramanujan Journal 1 LMS Journal of Computation and Mathematics 1 La Gaceta de la Real Sociedad Matemática Española 1 Butlletí de la Societat Catalana de Matemàtiques 1 Contemporary Mathematics 1 Research in the Mathematical Sciences all top 5 Fields 19 Algebraic geometry (14-XX) 18 Number theory (11-XX) 2 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 \(K\)-theory (19-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 19 Publications have been cited 111 times in 94 Documents Cited by ▼ Year ▼ Local bounds for torsion points on abelian varieties. Zbl 1204.11090 Clark, Pete L.; Xarles, Xavier 16 2008 Additive reduction of algebraic tori. Zbl 0782.14042 Nart, Enric; Xarles, Xavier 13 1991 Component groups of Néron models via rigid uniformization. Zbl 0869.14020 Bosch, Siegfried; Xarles, Xavier 10 1996 The scheme of connected components of the Néron model of an algebraic torus. Zbl 0764.14009 Xarles, Xavier 9 1993 Orbits of Galois invariant \(n\)-sets of \(\mathbb P^ 1\) under the action of \(\text{PGL}_ 2\). Zbl 1036.14011 López, Amparo; Maisner, Daniel; Nart, Enric; Xarles, Xavier 8 2002 Hyperelliptic parametrizations of \(\pmb{\mathbb{Q}}\)-curves. Zbl 1480.11069 Bars, Francesc; González, Josep; Xarles, Xavier 7 2021 Bielliptic and hyperelliptic modular curves \(X(N)\) and the group \(\operatorname{Aut}(X(N))\). Zbl 1304.11052 Bars, Francesc; Kontogeorgis, Aristides; Xarles, Xavier 7 2013 Squares in arithmetic progression over number fields. Zbl 1280.11037 Xarles, Xavier 6 2012 Rational periodic sequences for the Lyness recurrence. Zbl 1306.39006 Gasull, A.; Mañosa, Víctor; Xarles, Xavier 4 2012 On symmetric square values of quadratic polynomials. Zbl 1243.11046 González-Jiménez, Enrique; Xarles, Xavier 4 2011 On a conjecture of Rudin on squares in arithmetic progressions. Zbl 1314.11059 González-Jiménez, Enrique; Xarles, Xavier 4 2014 Five squares in arithmetic progression over quadratic fields. Zbl 1362.11013 González-Jiménez, Enrique; Xarles, Xavier 4 2013 On \(p\)-adic intermediate Jacobians. Zbl 1127.14019 Raskind, Wayne; Xarles, Xavier 3 2007 On the étale cohomology of algebraic varieties with totally degerate reduction over \(p\)-adic fields. Zbl 1138.14012 Raskind, Wayne; Xarles, Xavier 3 2007 Galois descent for the gonality of curves. Zbl 1409.14056 Roé, Joaquim; Xarles, Xavier 3 2018 Perturbations of \(L\)-functions with or without non-trivial zeros off the critical line. Zbl 1250.11084 Gauthier, Paul M.; Xarles, Xavier 3 2009 A quaternionic construction of \(p\)-adic singular moduli. Zbl 1491.11106 Guitart, Xavier; Masdeu, Marc; Xarles, Xavier 3 2021 Formal completions of Néron models for algebraic tori. Zbl 1200.14090 Demchenko, Oleg; Gurevich, Alexander; Xarles, Xavier 2 2010 Trivial points on towers of curves. Zbl 1294.11109 Xarles, Xavier 2 2013 Hyperelliptic parametrizations of \(\pmb{\mathbb{Q}}\)-curves. Zbl 1480.11069 Bars, Francesc; González, Josep; Xarles, Xavier 7 2021 A quaternionic construction of \(p\)-adic singular moduli. Zbl 1491.11106 Guitart, Xavier; Masdeu, Marc; Xarles, Xavier 3 2021 Galois descent for the gonality of curves. Zbl 1409.14056 Roé, Joaquim; Xarles, Xavier 3 2018 On a conjecture of Rudin on squares in arithmetic progressions. Zbl 1314.11059 González-Jiménez, Enrique; Xarles, Xavier 4 2014 Bielliptic and hyperelliptic modular curves \(X(N)\) and the group \(\operatorname{Aut}(X(N))\). Zbl 1304.11052 Bars, Francesc; Kontogeorgis, Aristides; Xarles, Xavier 7 2013 Five squares in arithmetic progression over quadratic fields. Zbl 1362.11013 González-Jiménez, Enrique; Xarles, Xavier 4 2013 Trivial points on towers of curves. Zbl 1294.11109 Xarles, Xavier 2 2013 Squares in arithmetic progression over number fields. Zbl 1280.11037 Xarles, Xavier 6 2012 Rational periodic sequences for the Lyness recurrence. Zbl 1306.39006 Gasull, A.; Mañosa, Víctor; Xarles, Xavier 4 2012 On symmetric square values of quadratic polynomials. Zbl 1243.11046 González-Jiménez, Enrique; Xarles, Xavier 4 2011 Formal completions of Néron models for algebraic tori. Zbl 1200.14090 Demchenko, Oleg; Gurevich, Alexander; Xarles, Xavier 2 2010 Perturbations of \(L\)-functions with or without non-trivial zeros off the critical line. Zbl 1250.11084 Gauthier, Paul M.; Xarles, Xavier 3 2009 Local bounds for torsion points on abelian varieties. Zbl 1204.11090 Clark, Pete L.; Xarles, Xavier 16 2008 On \(p\)-adic intermediate Jacobians. Zbl 1127.14019 Raskind, Wayne; Xarles, Xavier 3 2007 On the étale cohomology of algebraic varieties with totally degerate reduction over \(p\)-adic fields. Zbl 1138.14012 Raskind, Wayne; Xarles, Xavier 3 2007 Orbits of Galois invariant \(n\)-sets of \(\mathbb P^ 1\) under the action of \(\text{PGL}_ 2\). Zbl 1036.14011 López, Amparo; Maisner, Daniel; Nart, Enric; Xarles, Xavier 8 2002 Component groups of Néron models via rigid uniformization. Zbl 0869.14020 Bosch, Siegfried; Xarles, Xavier 10 1996 The scheme of connected components of the Néron model of an algebraic torus. Zbl 0764.14009 Xarles, Xavier 9 1993 Additive reduction of algebraic tori. Zbl 0782.14042 Nart, Enric; Xarles, Xavier 13 1991 all cited Publications top 5 cited Publications all top 5 Cited by 130 Authors 6 Nart, Enric 4 Bars Cortina, Francesc 4 Clark, Peter Louis 3 Adžaga, Nikola 3 Gauthier, Paul M. 3 González-Jiménez, Enrique 3 Keller, Timo 3 Nicaise, Johannes 3 Xarles, Xavier 2 Arul, Vishal 2 Badr, Eslam E. 2 Bitan, Rony A. 2 Bosch, Siegfried 2 Cadoret, Anna 2 Chidambaram, Shiva 2 Darmon, Henri René 2 Demchenko, Oleg Vyacheslavovich 2 Gonzalez-Avilés, Cristian D. 2 Halle, Lars Halvard 2 Jeon, Daeyeol 2 Kim, Chang Heon 2 Lorenzini, Dino J. 2 Lorenzo García, Elisa 2 Mañosa, Víctor 2 Martí, Ricard 2 Melistas, Mentzelos 2 Padurariu, Oana 2 Rapinchuk, Andrei S. 2 Rapinchuk, Igor A. 2 Selder, Erich 2 Sijsling, Jeroen 2 Spindler, Karlheinz 2 Thorne, Jack 2 Vonk, Jan B. 1 Anni, Samuele 1 Assaf, Eran 1 Balakrishnan, Jennifer S. 1 Bastien, Guy 1 Beneish, Lea 1 Bertapelle, Alessandra 1 Besser, Amnon 1 Bourdon, Abbey 1 Breuer, Florian 1 Bright, Martin 1 Cabaña, Gustavo 1 Cardona, Gabriel 1 Chara, Maria de los Angeles 1 Chen, Mingjie 1 Chernousov, Vladimir I. 1 Dèbes, Pierre 1 Demirkiran, Cevahir 1 Dogra, Netan 1 Doyle, John R. 1 Ferragut, Antoni 1 Fomina, T. V. 1 Freitas, Nuno 1 Gálvez-Carrillo, Imma 1 Garcia-Fritz, Natalia 1 García-Saldaña, Johanna D. 1 Gasull, Armengol 1 Gaudron, Éric 1 Gehrmann, Lennart 1 Giampietro, Sofia 1 Gonzalez Rovira, Josep 1 Gregory, Oliver 1 Gurevich, Aleksandr Petrovich 1 Hajdu, Lajos 1 Harashita, Shushi 1 Hashimoto, Sachi 1 Hertgen, Alan 1 Howe, Everett W. 1 Im, Bo-Hae 1 Ishii, Shun 1 Ito, Tetsushi 1 Kakinoki, Buntaro 1 Kaletha, Tasho 1 Karemaker, Valentijn 1 Kato, Kazuya 1 Knaf, Hagen 1 Köhl, Ralf 1 Krieger, Holly 1 Kudo, Momonari 1 Le Hung, Bao Viet 1 Lercier, Reynald 1 Liedtke, Christian 1 Lombardo, Davide M. 1 Maisner, Daniel 1 Marques, Sophie 1 Michaud-Jacobs, Philippe 1 Milošević, Marko S. 1 Müller, Jan Steffen 1 Najman, Filip 1 Northshield, Sam 1 Obus, Andrew 1 Ozeki, Yoshiyasu 1 Ozman, Ekin 1 Papikian, Mihran 1 Pépin, Cédric 1 Podestá, Ricardo A. 1 Pollack, Paul ...and 30 more Authors all top 5 Cited in 53 Serials 7 Journal of Number Theory 5 Mathematische Annalen 5 International Journal of Number Theory 4 Acta Arithmetica 3 Mathematics of Computation 3 Journal de Théorie des Nombres de Bordeaux 3 Finite Fields and their Applications 3 Research in Number Theory 2 Israel Journal of Mathematics 2 Advances in Mathematics 2 Annales de l’Institut Fourier 2 Bulletin de la Société Mathématique de France 2 Inventiones Mathematicae 2 Mathematische Zeitschrift 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Expositiones Mathematicae 2 Experimental Mathematics 2 Computational Methods and Function Theory 2 Kyoto Journal of Mathematics 2 Open Mathematics 1 Communications in Algebra 1 The Mathematical Gazette 1 Mathematical Notes 1 Mathematische Semesterberichte 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Compositio Mathematica 1 Functiones et Approximatio. Commentarii Mathematici 1 Journal of Approximation Theory 1 Journal of Combinatorial Theory. Series A 1 Journal of the Mathematical Society of Japan 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tôhoku Mathematical Journal. Second Series 1 European Journal of Combinatorics 1 Ergodic Theory and Dynamical Systems 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Applied Categorical Structures 1 Documenta Mathematica 1 The Ramanujan Journal 1 LMS Journal of Computation and Mathematics 1 Qualitative Theory of Dynamical Systems 1 Journal of the Institute of Mathematics of Jussieu 1 Journal of Mathematical Cryptology 1 Involve 1 Forum of Mathematics, Pi 1 Mathematics 1 Research in the Mathematical Sciences 1 European Journal of Mathematics all top 5 Cited in 15 Fields 71 Number theory (11-XX) 66 Algebraic geometry (14-XX) 11 Group theory and generalizations (20-XX) 4 Commutative algebra (13-XX) 3 Field theory and polynomials (12-XX) 3 \(K\)-theory (19-XX) 3 Functions of a complex variable (30-XX) 3 Geometry (51-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Difference and functional equations (39-XX) 2 Computer science (68-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) Citations by Year