Prof. Dr. Walter Gubler
Publikationen
- Höhentheorie (Dissertation; mit einem Appendix von Jürg Kramer), Math. Ann. 298 (1994), 427-455.
- Heights of subvarieties over M-fields, in arithmetic geometry, ed. by F. Catanese, Symp. Math. 37 (1997), 190-227.
- Local heights of subvarieties over non-archimedean fields, J. reine angew. Math. 498 (1998), 61-113.
- Moving lemma for K1 chains, J. reine angew. Math. 548 (2002), 1-19.
- Habilitationsschrift (5.7.2002): Basic properties of heights of subvarieties, 124 Seiten, http://e-collection.ethbib.ethz.ch.
- Local and canonical heights of subvarieties, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5) Vol. II (2003), 711-760.
- E. Bombieri, W. Gubler: Heights in diophantine geometry, Cambridge University Press (January 2006), 674 pp.
- Tropical varieties for non-archimedean analytic spaces, Inventiones mathematicae 169 (2007), 321-376
- The Bogomolov conjecture for totally degenerate abelian varieties, Inventiones mathematicae 169 (2007), 377-400
- C. Christensen, W. Gubler: Der relative Satz von Schanuel; Manuscripta Mathematica, Vol. 126 (2008), 505--525
- Equidistribution over function fields; Manuscripta mathematica, Vol. 127 (2008), 485--510
- Non-archimedean canonical measures on abelian varieties; Compositio Math. 146 (2010), 683--730
- The minimal dimension of a canonical measure,
appendix to K. Yamaki: Geometric Bogomolov conjecture for abelian varieties and some results for those with some degeneration; Manuscripta mathematica, DOI: 10.1007/s00229-012-0599-1
- A guide to tropicalizations; in Algebraic and Combinatorial Aspects of Tropical Geometry, Contemporary Mathematics, Vol. 589, Amer. Math. Soc., Providence, RI, 2013, pp. 125--189
- A. Soto, W. Gubler: Classification of normal toric varieties of rank one; Documenta Math. 20 (2015), 171-198
- Walter Gubler, Joseph Rabinoff, Annette Werner: Skeletons and Tropicalizations; Adv. Math. 294 (2016), 150-215
- Forms and currents on the analytification of an algebraic variety (after Chambert-Loir and Ducros); in Nonarchimedean and Tropical Geometry, 1--30, Simons Symp., Springer, 2016
- Walter Gubler, Klaus Künnemann: A tropical approach to non-archimedean Arakelov theory; Algebra & Number Theory, Vol. 11 (2017), No, 1, 77--180
- Walter Gubler, Joseph Rabinoff, Annette Werner: Tropical Skeletons; Annales de l'Institut Fourier, Volume 67 (2017), no. 5, p. 1905-1961
- Walter Gubler, Julius Hertel: Local heights of toric varieties over non-archimedean fields; Actes de la Conférences "Non-Archimedean Analytic Geometry: Theory and Practice", 5--77, Publ. Math. Besançon Algèbre Théorie Nr., 2017/1, Presses Univ. Franche-Comté, Besançon, 2017
- Walter Gubler, Florent Martin: On Zhang's semipositive metrics; Doc. Math. 24 (2019), 331--372
- Walter Gubler, Klaus Künnemann: Positivity properties of metrics and delta-forms; Journal für die reine und angewandte Mathematik, 752 (2019), 141--177, DOI: https://doi.org/10.1515/crelle-2016-0060
- Walter Gubler, Philipp Jell, Klaus Künnemann, Florent Martin: Continuity of Plurisubharmonic Envelopes in Non-Archimedean Geometry and Test Ideals (with an Appendix by José Ignacio Burgos Gil and Martín Sombra);Annales de l'Institut Fourier, Volume 69 (2019) no. 5, p. 2331-2376
- J. I. Burgos Gil, W. Gubler, P. Jell, K. Künnemann: A comparison of positivity in complex and tropical toric geometry; arXiv: 2003.08644v2 (2020)
- José Ignacio Burgos Gil, Walter Gubler, Philipp Jell, Klaus Künnemann, Florent Martin: Differentiability of non-archimedean volumes and non-archimedean Monge-Ampère equations (with an appendix by Robert Lazarsfeld); Foundation Compositio Mathematica, Volume 7, Issue 2 (March 2020)
- Sébastien Boucksom, Walter Gubler, Florent Martin: Differentiability of relative volumes over an arbitrary non-archimedean field; Int. Math. Res. Not. IMRN, (2020); https://arxiv.org/abs/2004.03847v1
- Sébastien Boucksom, Walter Gubler, Florent Martin: Non-Archimedean volumes of metrized nef line bundles; arXiv:2011.06986 (2020)
- José Ignacio Burgos Gil, Walter Gubler, Philipp Jell, Klaus Künnemann: Pluripotential theory for tropical toric varieties and non-archimedean Monge-Ampére equations; arXiv: 2102.07392 (2021)
- Walter Gubler, Philipp Jell, Joseph Rabinoff: Dolbeault Cohomology of Graphs and Berkovich Curves; arXiv:2111.05747 (2021)
- Sébastien Boucksom, Walter Gubler, Florent Martin: Differentiability of relative volumes over an arbitrary non-Archimedean field; IMRN 2022, 6214-6242 (2022)
- Walter Gubler, Stefan Stadlöder: Monge-Ampére measures for toric metrics on abelian varieties; Publications mathématiques de Besançon (2023), p. 49-84
- Yanbo Fang, Walter Gubler, Klaus Künnemann: On the non-archimedean Monge-Ampére equation in mixed characteristic; arXiv:2203.12282 (2024)
- Walter Gubler, Philipp Jell, Joseph Rabinoff: Forms on Berkovich spaces based on harmonic tropicalization; arXiv:2111.05741 (2024)
Die PDF-Files unterscheiden sich von den Publikationen dadurch, dass die letzten Änderungen bei der Korrektur der Proofs nicht gemacht wurden.