Chen, Huayi; Moriwaki, Atsushi Arakelov theory on arithmetic surfaces over a trivially valued field. (English) Zbl 07673009 Int. Math. Res. Not. 2023, No. 7, 5473-5537 (2023). Reviewer: Paul Vojta (Berkeley) MSC: 14G40 14C20 PDFBibTeX XMLCite \textit{H. Chen} and \textit{A. Moriwaki}, Int. Math. Res. Not. 2023, No. 7, 5473--5537 (2023; Zbl 07673009) Full Text: DOI arXiv
Dolce, Paolo Adelic geometry on arithmetic surfaces. I: Idelic and adelic interpretation of the Deligne pairing. (English) Zbl 1498.14062 Kyoto J. Math. 62, No. 2, 433-470 (2022). MSC: 14G40 11R56 14C17 14J20 PDFBibTeX XMLCite \textit{P. Dolce}, Kyoto J. Math. 62, No. 2, 433--470 (2022; Zbl 1498.14062) Full Text: DOI arXiv
de Jong, Robin Symmetric roots and admissible pairing. (English) Zbl 1304.11056 Trans. Am. Math. Soc. 363, No. 8, 4263-4283 (2011). MSC: 11G30 14G40 PDFBibTeX XMLCite \textit{R. de Jong}, Trans. Am. Math. Soc. 363, No. 8, 4263--4283 (2011; Zbl 1304.11056) Full Text: DOI arXiv
Aldrovandi, Ettore Hermitian-holomorphic Deligne cohomology, Deligne pairing for singular metrics, and hyperbolic metrics. (English) Zbl 1119.14015 Int. Math. Res. Not. 2005, No. 17, 1015-1046 (2005). Reviewer: Paul Vojta (Berkeley) MSC: 14F43 14G40 32L10 PDFBibTeX XMLCite \textit{E. Aldrovandi}, Int. Math. Res. Not. 2005, No. 17, 1015--1046 (2005; Zbl 1119.14015) Full Text: DOI arXiv
Kühn, Ulf Generalized arithmetic intersection numbers. (English) Zbl 1084.14028 J. Reine Angew. Math. 534, 209-236 (2001). Reviewer: Paul Vojta (Berkeley) MSC: 14G40 11G18 14C17 PDFBibTeX XMLCite \textit{U. Kühn}, J. Reine Angew. Math. 534, 209--236 (2001; Zbl 1084.14028) Full Text: DOI
Wang, Bin Mazur’s incidence structure for projective varieties. I. (English) Zbl 0982.14017 Compos. Math. 115, No. 3, 303-327 (1999). Reviewer: P.Vojta (Berkeley) MSC: 14G40 14C17 14M15 PDFBibTeX XMLCite \textit{B. Wang}, Compos. Math. 115, No. 3, 303--327 (1999; Zbl 0982.14017) Full Text: DOI
Künnemann, Klaus The Kähler identity for bigraded Hodge-Lefschetz modules and its application in non-archimedean Arakelov geometry. (English) Zbl 0954.14017 J. Algebr. Geom. 7, No. 4, 651-672 (1998). MSC: 14G40 14G20 32K15 14C15 14C30 PDFBibTeX XMLCite \textit{K. Künnemann}, J. Algebr. Geom. 7, No. 4, 651--672 (1998; Zbl 0954.14017)
Kühn, Ulf Generalized arithmetic intersection numbers. (English. Abridged French version) Zbl 0926.14010 C. R. Acad. Sci., Paris, Sér. I, Math. 327, No. 3, 283-288 (1998). Reviewer: Yuichiro Takeda (MR 99j:14026) MSC: 14G40 14C17 14G10 11G40 PDFBibTeX XMLCite \textit{U. Kühn}, C. R. Acad. Sci., Paris, Sér. I, Math. 327, No. 3, 283--288 (1998; Zbl 0926.14010) Full Text: DOI
Ullmo, Emmanuel Positivity and discretion of algebraic points of curves. (Positivité et discrétion des points algébriques des courbes.) (French) Zbl 0934.14013 Ann. Math. (2) 147, No. 1, 167-179 (1998). Reviewer: N.Yui (Kingston/Ontario) MSC: 14G40 14H40 11G30 14H25 PDFBibTeX XMLCite \textit{E. Ullmo}, Ann. Math. (2) 147, No. 1, 167--179 (1998; Zbl 0934.14013) Full Text: DOI arXiv
Jahnel, Jörg Line bundles on arithmetic surfaces and intersection theory. (English) Zbl 0949.14013 Manuscr. Math. 91, No. 1, 103-119 (1996). MSC: 14G40 14C17 11G50 14J60 PDFBibTeX XMLCite \textit{J. Jahnel}, Manuscr. Math. 91, No. 1, 103--119 (1996; Zbl 0949.14013) Full Text: DOI EuDML
Gasbarri, Carlo Deligne pairing and Néron-Tate heights. (Accouplement de Deligne et hauteurs de Néron-Tate.) (French) Zbl 1039.14007 C. R. Acad. Sci., Paris, Sér. I 323, No. 8, 845-848 (1996). MSC: 14G40 PDFBibTeX XMLCite \textit{C. Gasbarri}, C. R. Acad. Sci., Paris, Sér. I 323, No. 8, 845--848 (1996; Zbl 1039.14007)
Rumely, Robert An intersection pairing for curves, with analytic contributions from nonarchimedean places. (English) Zbl 0859.11037 Dilcher, Karl (ed.), Number theory. Fourth conference of the Canadian Number Theory Association, July 2-8, 1994, Dalhousie University, Halifax, Nova Scotia, Canada. Providence, RI: American Mathematical Society. CMS Conf. Proc. 15, 325-357 (1995). Reviewer: Everett W.Howe (San Diego) MSC: 11G30 14G25 14H25 PDFBibTeX XMLCite \textit{R. Rumely}, CMS Conf. Proc. 15, 325--357 (1995; Zbl 0859.11037)
Bachmat, Eitan A Fourier transform construction for Arakelov-Chow groups of an arithmetic abelian scheme. (English) Zbl 0851.14018 Int. Math. Res. Not. 1993, No. 7, 227-232 (1993). Reviewer: D.-L.Ulmer (MR 94k:14015) MSC: 14K15 14C05 14G40 PDFBibTeX XMLCite \textit{E. Bachmat}, Int. Math. Res. Not. 1993, No. 7, 227--232 (1993; Zbl 0851.14018) Full Text: DOI
Zhang, Shouwu Admissible pairing on a curve. (English) Zbl 0795.14015 Invent. Math. 112, No. 1, 171-193 (1993). MSC: 14H25 14G40 14G20 14G25 PDFBibTeX XMLCite \textit{S. Zhang}, Invent. Math. 112, No. 1, 171--193 (1993; Zbl 0795.14015) Full Text: DOI EuDML
Harbater, David Arithmetic discriminants and horizontal intersections. (English) Zbl 0724.14015 Math. Ann. 291, No. 4, 705-724 (1991). Reviewer: D.Harbater (Philadelphia) MSC: 14G40 14C20 14C17 14G25 14G20 PDFBibTeX XMLCite \textit{D. Harbater}, Math. Ann. 291, No. 4, 705--724 (1992; Zbl 0724.14015) Full Text: DOI EuDML
Harbater, David Potential theory over local and global fields. II. (English) Zbl 0793.14013 J. Algebra 148, No. 2, 384-432 (1992). Reviewer: D.Harbater (Philadelphia) MSC: 14G40 14G20 14H25 14G25 PDFBibTeX XMLCite \textit{D. Harbater}, J. Algebra 148, No. 2, 384--432 (1992; Zbl 0793.14013) Full Text: DOI
Hain, Richard Biextensions and heights associated to curves of odd genus. (English) Zbl 0737.14005 Duke Math. J. 61, No. 3, 859-898 (1990). Reviewer: Paul Vojta (Berkeley) MSC: 14G40 14H99 14D07 PDFBibTeX XMLCite \textit{R. Hain}, Duke Math. J. 61, No. 3, 859--898 (1990; Zbl 0737.14005) Full Text: DOI
Weiand, Markus General Arakelov theory on arithmetical surfaces. (Allgemeine Arakelovtheorie auf arithmetischen Flächen.) (German) Zbl 0744.14017 Köln: Univ. Köln, Math.-Naturwiss. Fak. 113 S. (1990). Reviewer: J.Top (Rotterdam) MSC: 14G40 14K05 14C17 PDFBibTeX XMLCite \textit{M. Weiand}, Allgemeine Arakelovtheorie auf arithmetischen Flächen. Köln: Univ. Köln, Math.-Naturwiss. Fak. (1990; Zbl 0744.14017)
Shioda, Tetsuji On the Mordell-Weil lattices. (English) Zbl 0725.14017 Comment. Math. Univ. St. Pauli 39, No. 2, 211-240 (1990). Reviewer: R.-P.Holzapfel (Berlin) MSC: 14G05 14H52 14J27 11G05 14G40 PDFBibTeX XMLCite \textit{T. Shioda}, Comment. Math. Univ. St. Pauli 39, No. 2, 211--240 (1990; Zbl 0725.14017)
Moret-Bailly, Laurent La formule de Noether pour les surfaces arithmétiques. (The Noether formula for arithmetic surfaces). (French) Zbl 0727.14014 Invent. Math. 98, No. 3, 491-498 (1989). Reviewer: R.-P.Holzapfel (Berlin) MSC: 14G40 14H10 11G30 PDFBibTeX XMLCite \textit{L. Moret-Bailly}, Invent. Math. 98, No. 3, 491--498 (1989; Zbl 0727.14014) Full Text: DOI EuDML
Coleman, Robert F.; Gross, Benedict H. \(p\)-adic heights on curves. (English) Zbl 0758.14009 Algebraic number theory - in honor of K. Iwasawa, Proc. Workshop Iwasawa Theory Spec. Values \(L\)-Funct., Berkeley/CA (USA) 1987, Adv. Stud. Pure Math. 17, 73-81 (1989). Reviewer: M. van der Put (Groningen) MSC: 14G20 14G40 14H25 PDFBibTeX XMLCite \textit{R. F. Coleman} and \textit{B. H. Gross}, Adv. Stud. Pure Math. None, 73--81 (1989; Zbl 0758.14009)
Lang, Serge [Vojta, Paul] Introduction to Arakelov theory. With an appendix by Paul Vojta: Diophantine inequalities and Arakelov theory. (English) Zbl 0667.14001 New York etc.: Springer-Verlag. x, 187 p. DM 98.00 (1988). Reviewer: Joseph H. Silverman (Providence) MSC: 14C17 14H25 14G25 14-02 PDFBibTeX XMLCite \textit{S. Lang}, Introduction to Arakelov theory. With an appendix by Paul Vojta: Diophantine inequalities and Arakelov theory. New York etc.: Springer-Verlag (1988; Zbl 0667.14001)
Szpiro, Lucien Présentation de la théorie d’Arakelov. (Presentation of the Arakelov theory). (French) Zbl 0634.14012 Current trends in arithmetical algebraic geometry, Proc. Summer Res. Conf., Arcata/Caif. 1985, Contemp. Math. 67, 279-293 (1987). Reviewer: W.Mc Callum MSC: 14G25 14J25 14H25 PDFBibTeX XML
Chinburg, T. Intersection theory and capacity theory on arithmetic surfaces. (English) Zbl 0628.14028 Number theory, Proc. Conf., Montreal/Can. 1985, CMS Conf. Proc. 7, 1-35 (1987). Reviewer: W.McCallum MSC: 14H25 14C17 14C20 14G25 PDFBibTeX XML
Chinburg, T. An introduction to Arakelov intersection theory. (English) Zbl 0605.14004 Arithmetic geometry, Pap. Conf., Storrs/Conn. 1984, 289-307 (1986). Reviewer: L.Bădescu MSC: 14C17 14J20 14C20 14K15 PDFBibTeX XML