Mochizuki, Shinichi Inter-universal Teichmüller theory. II: Hodge-Arakelov-theoretic evaluation. (English) Zbl 1465.14003 Publ. Res. Inst. Math. Sci. 57, No. 1-2, 209-401 (2021). Reviewer: Peter Scholze (Bonn) MSC: 14-02 14H25 14H30 14G32 14G40 × Cite Format Result Cite Review PDF Full Text: DOI Backlinks: MO
Holmes, David Torsion points and height jumping in higher-dimensional families of abelian varieties. (English) Zbl 1428.14041 Int. J. Number Theory 15, No. 9, 1801-1826 (2019). Reviewer: WonTae Hwang (Seoul) MSC: 14G40 11G05 14K05 14H10 11G50 11G30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Randriambololona, Hugues Harder-Narasimhan theory for linear codes (with an appendix on Riemann-Roch theory). (English) Zbl 1409.14047 J. Pure Appl. Algebra 223, No. 7, 2997-3030 (2019). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 14G50 94B27 05B35 06C05 06C10 11H71 14G40 14H60 14L24 94B05 94B75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wilms, Robert New explicit formulas for Faltings’ delta-invariant. (English) Zbl 1390.14073 Invent. Math. 209, No. 2, 481-539 (2017). Reviewer: Jordi Guárdia (Vilanova i la Geltrú) MSC: 14G40 14K25 14H42 14H55 11G30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Moriwaki, Atsushi Toward Dirichlet’s unit theorem on arithmetic varieties. (English) Zbl 1270.14008 Kyoto J. Math. 53, No. 1, 197-259 (2013). Reviewer: Yu Yasufuku (Tokyo) MSC: 14G40 11G50 37P30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Xue, Hui The derivative of an incoherent Eisenstein series. (English) Zbl 1275.11077 Trans. Am. Math. Soc. 364, No. 6, 3311-3327 (2012). Reviewer: Min Ho Lee (Cedar Falls) MSC: 11F30 11F37 11G40 × Cite Format Result Cite Review PDF Full Text: DOI
Bost, Jean-Benoît; Künnemann, Klaus Hermitian vector bundles and extension groups on arithmetic schemes. I: Geometry of numbers. (English) Zbl 1187.14027 Adv. Math. 223, No. 3, 987-1106 (2010). Reviewer: Xander Faber (Montreal) MSC: 14G40 11H31 11H55 14F05 18G15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Liţcanu, Răzvan Valuations, intersections and Belyi functions–some remarks on the construction of heights. (Valuations, intersections et fonctions de Belyi–quelques remarques sur la construction des hauteurs.) (French) Zbl 1142.14014 Expo. Math. 25, No. 2, 95-116 (2007). Reviewer: Paul Vojta (Berkeley) MSC: 14G40 14H25 14H30 × Cite Format Result Cite Review PDF Full Text: DOI
Borek, Thomas Successive minima and slopes of hermitian vector bundles over number fields. (English) Zbl 1100.14513 J. Number Theory 113, No. 2, 380-388 (2005). MSC: 14G40 14G25 14F05 × Cite Format Result Cite Review PDF Full Text: DOI
Viada, Evelina Slopes and abelian subvariety theorem. (English) Zbl 1080.11048 J. Number Theory 112, No. 1, 67-115 (2005). Reviewer: Vasyl I. Andriychuk (Lviv) MSC: 11G10 14K15 × Cite Format Result Cite Review PDF Full Text: DOI
Szpiro, Lucien; Ullmo, Emmanuel Variation of the Faltings height in a \(\overline{\mathbb{Q}}\)-isogeny class of elliptic curves. (Variation de la hauteur de Faltings dans une classe de \(\overline{\mathbb{Q}}\)-isogénie de courbe elliptique.) (French) Zbl 0952.11018 Duke Math. J. 97, No. 1, 81-97 (1999). Reviewer: P.Vojta (Berkeley) MSC: 11G50 11G05 11R32 14G40 × Cite Format Result Cite Review PDF Full Text: DOI
Abbes, Ahmed; Bouche, Thierry Arithmetic Hilbert-Samuel theorem. (Théorème de Hilbert-Samuel arithmétique.) (French) Zbl 0818.14011 Ann. Inst. Fourier 45, No. 2, 375-401 (1995). MSC: 14G40 32L10 13D40 11G99 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Bost, J.-B.; Gillet, H.; Soulé, C. Heights of projective varieties and positive Green forms. (English) Zbl 0973.14013 J. Am. Math. Soc. 7, No. 4, 903-1027 (1994). MSC: 14G40 14C17 11G50 14G25 × Cite Format Result Cite Review PDF Full Text: DOI