Gualdi, Roberto; Martínez, César Higher dimensional essential minima and equidistribution of cycles. (Minimums essentiels de dimension supérieure et équirépartition de cycles.) (English. French summary) Zbl 07589417 Ann. Inst. Fourier 72, No. 4, 1329-1377 (2022). Reviewer: Changwei Zhou (Binghamton) MSC: 14G40 11G35 14C25 PDF BibTeX XML Cite \textit{R. Gualdi} and \textit{C. Martínez}, Ann. Inst. Fourier 72, No. 4, 1329--1377 (2022; Zbl 07589417) Full Text: DOI arXiv OpenURL
Nguyen-Bac Dang; Favre, Charles Intersection theory of nef \(b\)-divisor classes. (English) Zbl 1499.14014 Compos. Math. 158, No. 7, 1563-1594 (2022). Reviewer: Ana María Botero (Regensburg) MSC: 14C20 14E05 PDF BibTeX XML Cite \textit{Nguyen-Bac Dang} and \textit{C. Favre}, Compos. Math. 158, No. 7, 1563--1594 (2022; Zbl 1499.14014) Full Text: DOI arXiv OpenURL
Kühne, Lars Points of small height on semiabelian varieties. (English) Zbl 1487.14063 J. Eur. Math. Soc. (JEMS) 24, No. 6, 2077-2131 (2022). Reviewer: Ana María Botero (Regensburg) MSC: 14G40 11G10 14G05 14K15 PDF BibTeX XML Cite \textit{L. Kühne}, J. Eur. Math. Soc. (JEMS) 24, No. 6, 2077--2131 (2022; Zbl 1487.14063) Full Text: DOI arXiv OpenURL
Chambert-Loir, Antoine Arakelov geometry, heights, equidistribution, and the Bogomolov conjecture. (English) Zbl 1458.14032 Peyre, Emmanuel (ed.) et al., Arakelov geometry and diophantine applications. Based on lectures given at the summer school, Grenoble, France, June 12–30, 2017. Cham: Springer. Lect. Notes Math. 2276, 299-328 (2021). MSC: 14G40 11G50 14-01 PDF BibTeX XML Cite \textit{A. Chambert-Loir}, Lect. Notes Math. 2276, 299--328 (2021; Zbl 1458.14032) Full Text: DOI arXiv OpenURL
Vilsmeier, Christian A comparison of the real and non-Archimedean Monge-Ampère operator. (English) Zbl 1457.32057 Math. Z. 297, No. 1-2, 633-668 (2021). MSC: 32P05 32W20 PDF BibTeX XML Cite \textit{C. Vilsmeier}, Math. Z. 297, No. 1--2, 633--668 (2021; Zbl 1457.32057) Full Text: DOI arXiv OpenURL
Boucksom, Sébastien; Eriksson, Dennis Spaces of norms, determinant of cohomology and Fekete points in non-Archimedean geometry. (English) Zbl 1460.32044 Adv. Math. 378, Article ID 107501, 125 p. (2021). MSC: 32P05 32L05 PDF BibTeX XML Cite \textit{S. Boucksom} and \textit{D. Eriksson}, Adv. Math. 378, Article ID 107501, 125 p. (2021; Zbl 1460.32044) Full Text: DOI arXiv OpenURL
Carney, Alexander The arithmetic Hodge index theorem and rigidity of dynamical systems over function fields. (English) Zbl 1465.11161 Pac. J. Math. 309, No. 1, 71-102 (2020). Reviewer: Riccardo Pengo (Lyon) MSC: 11G50 14G40 37P30 PDF BibTeX XML Cite \textit{A. Carney}, Pac. J. Math. 309, No. 1, 71--102 (2020; Zbl 1465.11161) Full Text: DOI arXiv OpenURL
Golota, Aleksei Delta-invariants for Fano varieties with large automorphism groups. (English) Zbl 1448.14041 Int. J. Math. 31, No. 10, Article ID 2050077, 31 p. (2020). Reviewer: Thibaut Delcroix (Montpellier) MSC: 14J45 32Q45 14J50 14L30 14M27 PDF BibTeX XML Cite \textit{A. Golota}, Int. J. Math. 31, No. 10, Article ID 2050077, 31 p. (2020; Zbl 1448.14041) Full Text: DOI arXiv OpenURL
Favre, Charles Degeneration of endomorphisms of the complex projective space in the hybrid space. (English) Zbl 07219254 J. Inst. Math. Jussieu 19, No. 4, 1141-1183 (2020). MSC: 37F44 32P05 37P50 28A33 32H50 PDF BibTeX XML Cite \textit{C. Favre}, J. Inst. Math. Jussieu 19, No. 4, 1141--1183 (2020; Zbl 07219254) Full Text: DOI arXiv OpenURL
Gubler, Walter; Jell, Philipp; Künnemann, Klaus; Martin, Florent [Burgos Gil, José Ignacio; Sombra, Martín] 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.) (English. French summary) Zbl 1434.32035 Ann. Inst. Fourier 69, No. 5, 2331-2376 (2019). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 32P05 13A35 14G22 32U05 PDF BibTeX XML Cite \textit{W. Gubler} et al., Ann. Inst. Fourier 69, No. 5, 2331--2376 (2019; Zbl 1434.32035) Full Text: DOI arXiv OpenURL
Gubler, Walter; Künnemann, Klaus Positivity properties of metrics and delta-forms. (English) Zbl 1476.14052 J. Reine Angew. Math. 752, 141-177 (2019). Reviewer: Jérôme Poineau (Caen) MSC: 14G22 32U05 PDF BibTeX XML Cite \textit{W. Gubler} and \textit{K. Künnemann}, J. Reine Angew. Math. 752, 141--177 (2019; Zbl 1476.14052) Full Text: DOI arXiv OpenURL
Stevenson, Matthew A non-Archimedean Ohsawa-Takegoshi extension theorem. (English) Zbl 1417.32026 Math. Z. 291, No. 1-2, 279-302 (2019). MSC: 32P05 32U05 PDF BibTeX XML Cite \textit{M. Stevenson}, Math. Z. 291, No. 1--2, 279--302 (2019; Zbl 1417.32026) Full Text: DOI arXiv OpenURL
Gubler, Walter; Martin, Florent On Zhang’s semipositive metrics. (English) Zbl 07050188 Doc. Math. 24, 331-372 (2019). MSC: 14G40 14G22 PDF BibTeX XML Cite \textit{W. Gubler} and \textit{F. Martin}, Doc. Math. 24, 331--372 (2019; Zbl 07050188) Full Text: DOI arXiv OpenURL
Gualdi, Roberto Heights of hypersurfaces in toric varieties. (English) Zbl 1410.14042 Algebra Number Theory 12, No. 10, 2403-2443 (2018). Reviewer: Edwin León Cardenal (Zacatecas) MSC: 14M25 11G50 14G40 52A39 PDF BibTeX XML Cite \textit{R. Gualdi}, Algebra Number Theory 12, No. 10, 2403--2443 (2018; Zbl 1410.14042) Full Text: DOI arXiv OpenURL
He, Xiang Lifting divisors with imposed ramifications on a generic chain of loops. (English) Zbl 1401.14144 Proc. Am. Math. Soc. 146, No. 11, 4591-4604 (2018). MSC: 14H10 14H51 14M25 14N10 14T05 12K10 52B20 PDF BibTeX XML Cite \textit{X. He}, Proc. Am. Math. Soc. 146, No. 11, 4591--4604 (2018; Zbl 1401.14144) Full Text: DOI arXiv OpenURL
Yu, Tony Yue Gromov compactness in non-archimedean analytic geometry. (English) Zbl 1423.14174 J. Reine Angew. Math. 741, 179-210 (2018). MSC: 14G22 53D30 PDF BibTeX XML Cite \textit{T. Y. Yu}, J. Reine Angew. Math. 741, 179--210 (2018; Zbl 1423.14174) Full Text: DOI arXiv Link OpenURL
Dujardin, R.; Favre, C. The dynamical Manin-Mumford problem for plane polynomial automorphisms. (English) Zbl 1392.37111 J. Eur. Math. Soc. (JEMS) 19, No. 11, 3421-3465 (2017). Reviewer: Franco Vivaldi (London) MSC: 37P30 37P05 37P35 PDF BibTeX XML Cite \textit{R. Dujardin} and \textit{C. Favre}, J. Eur. Math. Soc. (JEMS) 19, No. 11, 3421--3465 (2017; Zbl 1392.37111) Full Text: DOI arXiv OpenURL
Boucksom, Sébastien; Jonsson, Mattias Tropical and non-Archimedean limits of degenerating families of volume forms. (English. French summary) Zbl 1401.32019 J. Éc. Polytech., Math. 4, 87-139 (2017). Reviewer: Anna Fino (Torino) MSC: 32Q25 14J32 14T05 53C23 32P05 14G22 PDF BibTeX XML Cite \textit{S. Boucksom} and \textit{M. Jonsson}, J. Éc. Polytech., Math. 4, 87--139 (2017; Zbl 1401.32019) Full Text: DOI arXiv OpenURL
Yuan, Xinyi; Zhang, Shou-Wu The arithmetic Hodge index theorem for adelic line bundles. (English) Zbl 1372.14017 Math. Ann. 367, No. 3-4, 1123-1171 (2017). Reviewer: Yu Yasufuku (Tokyo) MSC: 14G40 37P55 14G22 PDF BibTeX XML Cite \textit{X. Yuan} and \textit{S.-W. Zhang}, Math. Ann. 367, No. 3--4, 1123--1171 (2017; Zbl 1372.14017) Full Text: DOI arXiv OpenURL
Moriwaki, Atsushi Adelic divisors on arithmetic varieties. (English) Zbl 1388.14076 Mem. Am. Math. Soc. 1144, vi, 126 p. (2016). Reviewer: Yu Yasufuku (Tokyo) MSC: 14G40 11G50 PDF BibTeX XML Cite \textit{A. Moriwaki}, Adelic divisors on arithmetic varieties. Providence, RI: American Mathematical Society (AMS) (2016; Zbl 1388.14076) Full Text: DOI arXiv OpenURL
Werner, Annette Analytification and tropicalization over non-Archimedean fields. (English) Zbl 1349.14103 Baker, Matthew (ed.) et al., Nonarchimedean and tropical geometry. Based on two Simons symposia, Island of St. John, March 31 – April 6, 2013 and Puerto Rico, February 1–7, 2015. Cham: Springer (ISBN 978-3-319-30944-6/hbk; 978-3-319-30945-3/ebook). Simons Symposia, 145-171 (2016). MSC: 14G22 14T05 PDF BibTeX XML Cite \textit{A. Werner}, in: Nonarchimedean and tropical geometry. Based on two Simons symposia, Island of St. John, March 31 -- April 6, 2013 and Puerto Rico, February 1--7, 2015. Cham: Springer. 145--171 (2016; Zbl 1349.14103) Full Text: DOI arXiv OpenURL
Boucksom, Sébastien; Favre, Charles; Jonsson, Mattias The non-Archimedean Monge-Ampère equation. (English) Zbl 1360.32018 Baker, Matthew (ed.) et al., Nonarchimedean and tropical geometry. Based on two Simons symposia, Island of St. John, March 31 – April 6, 2013 and Puerto Rico, February 1–7, 2015. Cham: Springer (ISBN 978-3-319-30944-6/hbk; 978-3-319-30945-3/ebook). Simons Symposia, 31-49 (2016). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 32P05 32W20 14J32 PDF BibTeX XML Cite \textit{S. Boucksom} et al., in: Nonarchimedean and tropical geometry. Based on two Simons symposia, Island of St. John, March 31 -- April 6, 2013 and Puerto Rico, February 1--7, 2015. Cham: Springer. 31--49 (2016; Zbl 1360.32018) Full Text: DOI arXiv OpenURL
Gubler, Walter Forms and currents on the analytification of an algebraic variety (after Chambert-Loir and Ducros). (English) Zbl 1349.14100 Baker, Matthew (ed.) et al., Nonarchimedean and tropical geometry. Based on two Simons symposia, Island of St. John, March 31 – April 6, 2013 and Puerto Rico, February 1–7, 2015. Cham: Springer (ISBN 978-3-319-30944-6/hbk; 978-3-319-30945-3/ebook). Simons Symposia, 1-30 (2016). MSC: 14G22 14T05 PDF BibTeX XML Cite \textit{W. Gubler}, in: Nonarchimedean and tropical geometry. Based on two Simons symposia, Island of St. John, March 31 -- April 6, 2013 and Puerto Rico, February 1--7, 2015. Cham: Springer. 1--30 (2016; Zbl 1349.14100) Full Text: DOI arXiv OpenURL
Gubler, Walter; Rabinoff, Joseph; Werner, Annette Skeletons and tropicalizations. (English) Zbl 1370.14024 Adv. Math. 294, 150-215 (2016). Reviewer: Alejandro Soto (Frankfurt am Main) MSC: 14G22 14T05 PDF BibTeX XML Cite \textit{W. Gubler} et al., Adv. Math. 294, 150--215 (2016; Zbl 1370.14024) Full Text: DOI arXiv OpenURL
Boucksom, Sébastien; Favre, Charles; Jonsson, Mattias Singular semipositive metrics in non-Archimedean geometry. (English) Zbl 1346.14065 J. Algebr. Geom. 25, No. 1, 77-139 (2016). Reviewer: Jérôme Poineau (Caen) MSC: 14G22 32U05 PDF BibTeX XML Cite \textit{S. Boucksom} et al., J. Algebr. Geom. 25, No. 1, 77--139 (2016; Zbl 1346.14065) Full Text: DOI arXiv OpenURL
Petsche, Clayton A criterion for weak convergence on Berkovich projective space. (English) Zbl 1200.14046 Math. Ann. 348, No. 2, 449-465 (2010). Reviewer: Jérôme Poineau (Strasbourg) MSC: 14G22 32P05 37P50 PDF BibTeX XML Cite \textit{C. Petsche}, Math. Ann. 348, No. 2, 449--465 (2010; Zbl 1200.14046) Full Text: DOI arXiv OpenURL
Chambert-Loir, Antoine; Thuillier, Amaury Mahler measures and logarithmic equidistribution. (Mesures de Mahler et équidistribution logarithmique.) (French) Zbl 1192.14020 Ann. Inst. Fourier 59, No. 3, 977-1014 (2009). Reviewer: Huayi Chen (Paris) MSC: 14G40 14G22 32U05 PDF BibTeX XML Cite \textit{A. Chambert-Loir} and \textit{A. Thuillier}, Ann. Inst. Fourier 59, No. 3, 977--1014 (2009; Zbl 1192.14020) Full Text: DOI arXiv Numdam EuDML OpenURL
Gubler, Walter Equidistribution over function fields. (English) Zbl 1189.14030 Manuscr. Math. 127, No. 4, 485-510 (2008). Reviewer: Jorge Pineiro (Bronx) MSC: 14G40 14T05 11G50 37P30 37P05 14C40 14G25 37P55 PDF BibTeX XML Cite \textit{W. Gubler}, Manuscr. Math. 127, No. 4, 485--510 (2008; Zbl 1189.14030) Full Text: DOI arXiv OpenURL
Yuan, Xinyi Big line bundles over arithmetic varieties. (English) Zbl 1146.14016 Invent. Math. 173, No. 3, 603-649 (2008). Reviewer: Xander Faber (Montreal) MSC: 14G40 PDF BibTeX XML Cite \textit{X. Yuan}, Invent. Math. 173, No. 3, 603--649 (2008; Zbl 1146.14016) Full Text: DOI arXiv OpenURL
Boucksom, Sébastien; Favre, Charles; Jonsson, Mattias Valuations and plurisubharmonic singularities. (English) Zbl 1146.32017 Publ. Res. Inst. Math. Sci. 44, No. 2, 449-494 (2008). MSC: 32U25 13A18 14B05 32P05 32S45 PDF BibTeX XML Cite \textit{S. Boucksom} et al., Publ. Res. Inst. Math. Sci. 44, No. 2, 449--494 (2008; Zbl 1146.32017) Full Text: DOI arXiv OpenURL
Gubler, Walter The Bogomolov conjecture for totally degenerate abelian varieties. (English) Zbl 1153.14029 Invent. Math. 169, No. 2, 377-400 (2007). Reviewer: Paul Vojta (Berkeley) MSC: 14K05 11G50 14K12 14G05 PDF BibTeX XML Cite \textit{W. Gubler}, Invent. Math. 169, No. 2, 377--400 (2007; Zbl 1153.14029) Full Text: DOI arXiv OpenURL
Gubler, Walter Tropical varieties for non-archimedean analytic spaces. (English) Zbl 1153.14036 Invent. Math. 169, No. 2, 321-376 (2007). Reviewer: Paul Vojta (Berkeley) MSC: 14P99 32P05 32J25 12J25 52A41 PDF BibTeX XML Cite \textit{W. Gubler}, Invent. Math. 169, No. 2, 321--376 (2007; Zbl 1153.14036) Full Text: DOI arXiv OpenURL
Conrad, Brian Relative ampleness in rigid geometry. (English) Zbl 1125.14009 Ann. Inst. Fourier 56, No. 6, 1049-1126 (2006). Reviewer: Gunther Cornelissen (Utrecht) MSC: 14G22 14D15 PDF BibTeX XML Cite \textit{B. Conrad}, Ann. Inst. Fourier 56, No. 6, 1049--1126 (2006; Zbl 1125.14009) Full Text: DOI Numdam EuDML OpenURL
Gubler, Walter Local and canonical heights of subvarieties. (English) Zbl 1170.14303 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 2, No. 4, 711-760 (2003). MSC: 14G40 11G50 14G22 PDF BibTeX XML Cite \textit{W. Gubler}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 2, No. 4, 711--760 (2003; Zbl 1170.14303) Full Text: EuDML OpenURL