Edit Profile (opens in new tab) Gubler, Walter Bruno Compute Distance To: Compute Author ID: gubler.walter Published as: Gubler, Walter External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 26 Publications since 1994, including 2 Books 3 Contributions as Editor · 1 Further Contribution Co-Authors: 13 Co-Authors with 18 Joint Publications 176 Co-Co-Authors all top 5 Co-Authors 10 single-authored 5 Künnemann, Klaus 5 Martin, Florent 5 Werner, Annette 3 Berkovich, Vladimir G. 3 Burgos Gil, José Ignacio 3 Jell, Philipp 2 Bombieri, Enrico 2 Boucksom, Sébastien 2 Rabinoff, Joseph 2 Schneider, Peter 1 Christensen, Christian 1 Hertel, Julius 1 Kramer, Jürg 1 Lazarsfeld, Robert Kendall 1 Sombra, Martín 1 Soto, Alejandro 1 Yamaki, Kazuhiko all top 5 Serials 3 Journal für die Reine und Angewandte Mathematik 3 Manuscripta Mathematica 3 Oberwolfach Reports 2 Annales de l’Institut Fourier 2 Inventiones Mathematicae 2 Documenta Mathematica 2 New Mathematical Monographs 1 Advances in Mathematics 1 Compositio Mathematica 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 IMRN. International Mathematics Research Notices 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Algebra & Number Theory 1 Algebraic Geometry 1 Épijournal de Géométrie Algébrique. EPIGA all top 5 Fields 30 Algebraic geometry (14-XX) 13 Number theory (11-XX) 13 Several complex variables and analytic spaces (32-XX) 3 General and overarching topics; collections (00-XX) 3 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Convex and discrete geometry (52-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 26 Publications have been cited 584 times in 421 Documents Cited by ▼ Year ▼ Heights in Diophantine geometry. Zbl 1115.11034Bombieri, Enrico; Gubler, Walter 265 2006 A guide to tropicalizations. Zbl 1318.14061Gubler, Walter 43 2013 Tropical varieties for non-archimedean analytic spaces. Zbl 1153.14036Gubler, Walter 40 2007 Local heights of subvarieties over non-archimedean fields. Zbl 0906.14013Gubler, Walter 34 1998 Skeletons and tropicalizations. Zbl 1370.14024Gubler, Walter; Rabinoff, Joseph; Werner, Annette 30 2016 Heights in Diophantine geometry. Paperback reprint of the 2006 original. Zbl 1130.11034Bombieri, Enrico; Gubler, Walter 22 2007 The Bogomolov conjecture for totally degenerate abelian varieties. Zbl 1153.14029Gubler, Walter 18 2007 Local and canonical heights of subvarieties. Zbl 1170.14303Gubler, Walter 18 2003 Equidistribution over function fields. Zbl 1189.14030Gubler, Walter 17 2008 Forms and currents on the analytification of an algebraic variety (after Chambert-Loir and Ducros). Zbl 1349.14100Gubler, Walter 17 2016 Non-archimedean canonical measures on abelian varieties. Zbl 1192.14021Gubler, Walter 12 2010 A tropical approach to nonarchimedean Arakelov geometry. Zbl 1386.14096Gubler, Walter; Künnemann, Klaus 12 2017 Theory of heights. With an appendix by Jürg Kramer: An alternative foundation of the Néron-Tate height. (Höhentheorie (mit einem Appendix von Jürg Kramer: Eine alternative Begründung der Néron-Tate Höhe).) Zbl 0792.14012Gubler, Walter 8 1994 Geometric Bogomolov conjecture for abelian varieties and some results for those with some degeneration (with an appendix by Walter Gubler: the minimal dimension of a canonical measure). Zbl 1281.14018Yamaki, Kazuhiko 8 2013 Classification of normal toric varieties over a valuation ring of rank one. Zbl 1349.14161Gubler, Walter; Soto, Alejandro 7 2015 On Zhang’s semipositive metrics. Zbl 07050188Gubler, Walter; Martin, Florent 7 2019 Differentiability of non-Archimedean volumes and non-Archimedean Monge-Ampère equations (with an appendix by Robert Lazarsfeld). Zbl 1457.32056Burgos Gil, José Ignacio; Gubler, Walter; Jell, Philipp; Künnemann, Klaus; Martin, Florent 6 2020 The relative theorem of Schanuel. (Der relative Satz von Schanuel.) Zbl 1155.11034Christensen, Christian; Gubler, Walter 5 2008 Heights of subvarieties over \(M\)-fields. Zbl 0916.14011Gubler, Walter 5 1997 Tropical skeletons. (Squelettes tropicaux.) Zbl 1439.14084Gubler, Walter; Rabinoff, Joseph; Werner, Annette 4 2017 Positivity properties of metrics and delta-forms. Zbl 1476.14052Gubler, Walter; Künnemann, Klaus 4 2019 Continuity of plurisubharmonic envelopes in non-Archimedean geometry and test ideals. With an appendix by José Ignacio Burgos Gil and Martín Sombra. (Continuité des enveloppes plurisousharmoniques en géométrie non-archimédienne et idéaux test.) Zbl 1434.32035Gubler, Walter; Jell, Philipp; Künnemann, Klaus; Martin, Florent 4 2019 Moving lemma for \(K_1\)-chains. Zbl 1016.14002Gubler, Walter 2 2002 Local heights of toric varieties over non-Archimedean fields. Zbl 1434.11124Gubler, Walter; Hertel, Julius 2 2017 A comparison of positivity in complex and tropical toric geometry. Zbl 1478.14090Burgos Gil, José Ignacio; Gubler, Walter; Jell, Philipp; Künnemann, Klaus 1 2021 Differentiability of relative volumes over an arbitrary non-Archimedean field. Zbl 1498.14055Boucksom, Sébastien; Gubler, Walter; Martin, Florent 1 2022 Differentiability of relative volumes over an arbitrary non-Archimedean field. Zbl 1498.14055Boucksom, Sébastien; Gubler, Walter; Martin, Florent 1 2022 A comparison of positivity in complex and tropical toric geometry. Zbl 1478.14090Burgos Gil, José Ignacio; Gubler, Walter; Jell, Philipp; Künnemann, Klaus 1 2021 Differentiability of non-Archimedean volumes and non-Archimedean Monge-Ampère equations (with an appendix by Robert Lazarsfeld). Zbl 1457.32056Burgos Gil, José Ignacio; Gubler, Walter; Jell, Philipp; Künnemann, Klaus; Martin, Florent 6 2020 On Zhang’s semipositive metrics. Zbl 07050188Gubler, Walter; Martin, Florent 7 2019 Positivity properties of metrics and delta-forms. Zbl 1476.14052Gubler, Walter; Künnemann, Klaus 4 2019 Continuity of plurisubharmonic envelopes in non-Archimedean geometry and test ideals. With an appendix by José Ignacio Burgos Gil and Martín Sombra. (Continuité des enveloppes plurisousharmoniques en géométrie non-archimédienne et idéaux test.) Zbl 1434.32035Gubler, Walter; Jell, Philipp; Künnemann, Klaus; Martin, Florent 4 2019 A tropical approach to nonarchimedean Arakelov geometry. Zbl 1386.14096Gubler, Walter; Künnemann, Klaus 12 2017 Tropical skeletons. (Squelettes tropicaux.) Zbl 1439.14084Gubler, Walter; Rabinoff, Joseph; Werner, Annette 4 2017 Local heights of toric varieties over non-Archimedean fields. Zbl 1434.11124Gubler, Walter; Hertel, Julius 2 2017 Skeletons and tropicalizations. Zbl 1370.14024Gubler, Walter; Rabinoff, Joseph; Werner, Annette 30 2016 Forms and currents on the analytification of an algebraic variety (after Chambert-Loir and Ducros). Zbl 1349.14100Gubler, Walter 17 2016 Classification of normal toric varieties over a valuation ring of rank one. Zbl 1349.14161Gubler, Walter; Soto, Alejandro 7 2015 A guide to tropicalizations. Zbl 1318.14061Gubler, Walter 43 2013 Geometric Bogomolov conjecture for abelian varieties and some results for those with some degeneration (with an appendix by Walter Gubler: the minimal dimension of a canonical measure). Zbl 1281.14018Yamaki, Kazuhiko 8 2013 Non-archimedean canonical measures on abelian varieties. Zbl 1192.14021Gubler, Walter 12 2010 Equidistribution over function fields. Zbl 1189.14030Gubler, Walter 17 2008 The relative theorem of Schanuel. (Der relative Satz von Schanuel.) Zbl 1155.11034Christensen, Christian; Gubler, Walter 5 2008 Tropical varieties for non-archimedean analytic spaces. Zbl 1153.14036Gubler, Walter 40 2007 Heights in Diophantine geometry. Paperback reprint of the 2006 original. Zbl 1130.11034Bombieri, Enrico; Gubler, Walter 22 2007 The Bogomolov conjecture for totally degenerate abelian varieties. Zbl 1153.14029Gubler, Walter 18 2007 Heights in Diophantine geometry. Zbl 1115.11034Bombieri, Enrico; Gubler, Walter 265 2006 Local and canonical heights of subvarieties. Zbl 1170.14303Gubler, Walter 18 2003 Moving lemma for \(K_1\)-chains. Zbl 1016.14002Gubler, Walter 2 2002 Local heights of subvarieties over non-archimedean fields. Zbl 0906.14013Gubler, Walter 34 1998 Heights of subvarieties over \(M\)-fields. Zbl 0916.14011Gubler, Walter 5 1997 Theory of heights. With an appendix by Jürg Kramer: An alternative foundation of the Néron-Tate height. (Höhentheorie (mit einem Appendix von Jürg Kramer: Eine alternative Begründung der Néron-Tate Höhe).) Zbl 0792.14012Gubler, Walter 8 1994 all cited Publications top 5 cited Publications all top 5 Cited by 386 Authors 18 Zannier, Umberto M. 13 Gubler, Walter Bruno 12 Habegger, Philipp 11 Ghioca, Dragos 9 Tucker, Thomas John 8 Corvaja, Pietro 8 Levin, Aaron 8 Nguyen, Khoa Dang 8 Vaaler, Jeffrey D. 7 Bell, Jason P. 7 Boucksom, Sébastien 7 Favre, Charles 7 Jell, Philipp 7 Jonsson, Mattias 7 Sombra, Martín 7 Widmer, Martin 6 Göral, Haydar 6 Ulirsch, Martin 5 Akhtari, Shabnam 5 Dill, Gabriel A. 5 Masser, David William 5 Ostafe, Alina 5 Pila, Jonathan 5 Pottmeyer, Lukas 5 Shparlinski, Igor E. 5 Werner, Annette 5 Yamaki, Kazuhiko 5 Yasufuku, Yu 4 Burgos Gil, José Ignacio 4 Canci, Jung Kyu 4 Foster, Tyler 4 Gao, Ziyang 4 Hsia, Liang-Chung 4 Ingram, Patrick 4 Matsuzawa, Yohsuke 4 Petsche, Clayton 4 Rabinoff, Joseph 4 Ranganathan, Dhruv 4 Yu, Tony Yue 3 Barroero, Fabrizio 3 Bugeaud, Yann 3 Capuano, Laura 3 DeMarco, Laura Grace 3 Fuchs, Clemens 3 Fukshansky, Lenny 3 Gorodnik, Alexander 3 Grieve, Nathan Mark 3 Grizzard, Robert 3 Gross, Andreas 3 Gualdi, Roberto 3 Jensen, David 3 Kawaguchi, Shu 3 Kühne, Lars 3 Künnemann, Klaus 3 Luca, Florian 3 Manon, Christopher 3 Martin, Florent 3 Martínez, César 3 McKinnon, David 3 Okazaki, Masao 3 Payne, Sam 3 Roth, Mike 3 Shokrieh, Farbod 3 Spatzier, Ralf J. 3 Turchet, Amos 3 Varjú, Péter Pál 3 Waldschmidt, Michel 3 Yuan, Xinyi 2 Ballaÿ, François 2 Bérczes, Attila 2 Beshaj, Lubjana 2 Binyamini, Gal 2 Bourgain, Jean 2 Breuillard, Emmanuel 2 Bridy, Andrew 2 Cartwright, Dustin A. 2 Çelik, Şermin Çam 2 Chambert-Loir, Antoine 2 Checcoli, Sara 2 Cinkir, Zubeyir 2 Cook-Powell, Kaelin 2 Cueto, María Angélica 2 D’Andrea, Carlos 2 de Jong, Robin 2 Fesenko, Ivan Borisovich 2 Hamidine, Ibrahima 2 Hindes, Wade 2 Ikoma, Hideaki 2 Kaveh, Kiumars 2 Marcolli, Matilde 2 Markwig, Hannah 2 Mavraki, Niki Myrto 2 Mello, Jorge 2 Morrison, Ralph 2 Paredes, Marcelo 2 Pazuki, Fabien 2 Philippon, Patrice 2 Reboulet, Rémi 2 Riffaut, Antonin 2 Rohrer, Fred ...and 286 more Authors all top 5 Cited in 117 Serials 21 Mathematische Zeitschrift 21 Transactions of the American Mathematical Society 15 Acta Arithmetica 15 Journal de Théorie des Nombres de Bordeaux 15 International Journal of Number Theory 14 Annales de l’Institut Fourier 14 Compositio Mathematica 14 Proceedings of the American Mathematical Society 13 Inventiones Mathematicae 13 Manuscripta Mathematica 12 Journal of Number Theory 12 Mathematische Annalen 11 Advances in Mathematics 11 Journal für die Reine und Angewandte Mathematik 7 Israel Journal of Mathematics 7 Duke Mathematical Journal 7 Selecta Mathematica. New Series 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Monatshefte für Mathematik 6 Annals of Mathematics. Second Series 5 Michigan Mathematical Journal 5 European Journal of Mathematics 4 Archiv der Mathematik 4 Journal of the American Mathematical Society 4 Journal of Algebraic Geometry 4 Journal of the European Mathematical Society (JEMS) 4 Algebra & Number Theory 4 Research in Number Theory 3 Collectanea Mathematica 3 Journal of Combinatorial Theory. Series A 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Ergodic Theory and Dynamical Systems 3 Journal of the Institute of Mathematics of Jussieu 3 Forum of Mathematics, Sigma 3 Research in the Mathematical Sciences 2 Mathematics of Computation 2 Journal of Geometry and Physics 2 Beiträge zur Algebra und Geometrie 2 Bulletin of the London Mathematical Society 2 Canadian Mathematical Bulletin 2 Functiones et Approximatio. Commentarii Mathematici 2 Journal of Algebra 2 Journal of Pure and Applied Algebra 2 Mathematische Nachrichten 2 Memoirs of the American Mathematical Society 2 Pacific Journal of Mathematics 2 International Journal of Mathematics 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Geometric and Functional Analysis. GAFA 2 Expositiones Mathematicae 2 Experimental Mathematics 2 Documenta Mathematica 2 Foundations of Computational Mathematics 2 Hacettepe Journal of Mathematics and Statistics 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Complex Analysis and Operator Theory 2 Journal of Modern Dynamics 2 Kyoto Journal of Mathematics 1 International Journal of Modern Physics A 1 American Mathematical Monthly 1 Bulletin of the Australian Mathematical Society 1 Journal d’Analyse Mathématique 1 Lithuanian Mathematical Journal 1 Periodica Mathematica Hungarica 1 Acta Mathematica 1 The Annals of Probability 1 Canadian Journal of Mathematics 1 Colloquium Mathematicum 1 Commentarii Mathematici Helvetici 1 Publications Mathématiques 1 Kodai Mathematical Journal 1 Kybernetika 1 Nagoya Mathematical Journal 1 Notre Dame Journal of Formal Logic 1 Proceedings of the Japan Academy. Series A 1 Proceedings of the London Mathematical Society. Third Series 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Rendiconti del Seminario Matematico della Università di Padova 1 Tôhoku Mathematical Journal. Second Series 1 Bulletin of the Korean Mathematical Society 1 Note di Matematica 1 Annals of Pure and Applied Logic 1 Discrete & Computational Geometry 1 Revista Matemática Iberoamericana 1 Forum Mathematicum 1 Sugaku Expositions 1 IMRN. International Mathematics Research Notices 1 The Journal of Geometric Analysis 1 L’Enseignement Mathématique. 2e Série 1 Linear Algebra and its Applications 1 Bulletin of the American Mathematical Society. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 St. Petersburg Mathematical Journal 1 Turkish Journal of Mathematics 1 The Electronic Journal of Combinatorics 1 The New York Journal of Mathematics 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Transformation Groups 1 The Ramanujan Journal 1 Acta Mathematica Sinica. English Series ...and 17 more Serials all top 5 Cited in 36 Fields 261 Number theory (11-XX) 245 Algebraic geometry (14-XX) 70 Dynamical systems and ergodic theory (37-XX) 47 Several complex variables and analytic spaces (32-XX) 18 Mathematical logic and foundations (03-XX) 18 Field theory and polynomials (12-XX) 17 Commutative algebra (13-XX) 12 Convex and discrete geometry (52-XX) 10 Group theory and generalizations (20-XX) 7 Combinatorics (05-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Measure and integration (28-XX) 5 Functions of a complex variable (30-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Functional analysis (46-XX) 5 Differential geometry (53-XX) 4 Topological groups, Lie groups (22-XX) 4 Special functions (33-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Probability theory and stochastic processes (60-XX) 2 Associative rings and algebras (16-XX) 2 Operator theory (47-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 General algebraic systems (08-XX) 1 \(K\)-theory (19-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-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.