van Bommel, Raymond; Javanpeykar, Ariyan; Kamenova, Ljudmila Boundedness in families with applications to arithmetic hyperbolicity. (English) Zbl 07809020 J. Lond. Math. Soc., II. Ser. 109, No. 1, Article ID e12847, 51 p. (2024). MSC: 11R58 14G05 14J50 32Q45 37P45 14J40 PDFBibTeX XMLCite \textit{R. van Bommel} et al., J. Lond. Math. Soc., II. Ser. 109, No. 1, Article ID e12847, 51 p. (2024; Zbl 07809020) Full Text: DOI arXiv OA License
Kovács, Sándor J.; Taji, Behrouz Arakelov inequalities in higher dimensions. (English) Zbl 07785469 J. Reine Angew. Math. 806, 115-145 (2024). MSC: 14G40 PDFBibTeX XMLCite \textit{S. J. Kovács} and \textit{B. Taji}, J. Reine Angew. Math. 806, 115--145 (2024; Zbl 07785469) Full Text: DOI arXiv
Phung, Xuan Kien On the Parshin-Arakelov theorem and integral sections on elliptic surfaces. (English) Zbl 1527.14065 Beitr. Algebra Geom. 64, No. 2, 387-401 (2023). MSC: 14H05 14H10 14H52 PDFBibTeX XMLCite \textit{X. K. Phung}, Beitr. Algebra Geom. 64, No. 2, 387--401 (2023; Zbl 1527.14065) Full Text: DOI
Phung, Xuan Kien Finiteness criteria and uniformity of integral sections in some families of abelian varieties. (English) Zbl 07693876 Geom. Dedicata 217, No. 3, Paper No. 59, 19 p. (2023). MSC: 11G10 14G05 14C17 14C20 14K05 PDFBibTeX XMLCite \textit{X. K. Phung}, Geom. Dedicata 217, No. 3, Paper No. 59, 19 p. (2023; Zbl 07693876) Full Text: DOI arXiv
Kebekus, Stefan; Pereira, Jorge Vitório; Smeets, Arne Failure of the Brauer-Manin principle for a simply connected fourfold over a global function field, via orbifold Mordell. (English) Zbl 1516.14043 Duke Math. J. 171, No. 17, 3515-3591 (2022). Reviewer: Stefan Schröer (Düsseldorf) MSC: 14F22 11G35 PDFBibTeX XMLCite \textit{S. Kebekus} et al., Duke Math. J. 171, No. 17, 3515--3591 (2022; Zbl 1516.14043) Full Text: DOI arXiv
Jöricke, Burglind Riemann surfaces of second kind and effective finiteness theorems. (English) Zbl 1527.32009 Math. Z. 302, No. 1, 73-127 (2022). Reviewer: Andrea Tamburelli (Houston) MSC: 32G13 20F36 32H35 32Q56 57Mxx PDFBibTeX XMLCite \textit{B. Jöricke}, Math. Z. 302, No. 1, 73--127 (2022; Zbl 1527.32009) Full Text: DOI arXiv
Xie, Junyi; Yuan, Xinyi Geometric Bogomolov conjecture in arbitrary characteristics. (English) Zbl 1508.14028 Invent. Math. 229, No. 2, 607-637 (2022). Reviewer: Nikolaj M. Glazunov (Kyïv) MSC: 14G40 14G05 11G50 PDFBibTeX XMLCite \textit{J. Xie} and \textit{X. Yuan}, Invent. Math. 229, No. 2, 607--637 (2022; Zbl 1508.14028) Full Text: DOI arXiv
Taji, Behrouz On the Kodaira dimension of base spaces of families of manifolds. (English) Zbl 1474.14016 J. Pure Appl. Algebra 225, No. 11, Article ID 106729, 21 p. (2021). Reviewer: Debaditya Raychaudhury (Toronto) MSC: 14D06 14D23 14E05 14E30 14D07 PDFBibTeX XMLCite \textit{B. Taji}, J. Pure Appl. Algebra 225, No. 11, Article ID 106729, 21 p. (2021; Zbl 1474.14016) Full Text: DOI arXiv
Catanese, Fabrizio; Corvaja, Pietro; Zannier, Umberto Fibred algebraic surfaces and commutators in the symplectic group. (English) Zbl 1470.14022 J. Algebra 562, 200-228 (2020). Reviewer: Ben Anthes (Marburg) MSC: 14D05 14J29 14J80 32S50 32S20 20H99 53D99 PDFBibTeX XMLCite \textit{F. Catanese} et al., J. Algebra 562, 200--228 (2020; Zbl 1470.14022) Full Text: DOI arXiv
Lawrence, Brian; Venkatesh, Akshay Diophantine problems and \(p\)-adic period mappings. (English) Zbl 1455.11093 Invent. Math. 221, No. 3, 893-999 (2020). Reviewer: Evis Ieronymou (Nicosia) MSC: 11G35 11F80 11J89 14G05 PDFBibTeX XMLCite \textit{B. Lawrence} and \textit{A. Venkatesh}, Invent. Math. 221, No. 3, 893--999 (2020; Zbl 1455.11093) Full Text: DOI arXiv
Castorena, Abel; Mendes Lopes, Margarida; Pirola, Gian Pietro Semistable fibrations over an elliptic curve with only one singular fibre. (English) Zbl 1445.14044 Osaka J. Math. 57, No. 1, 9-15 (2020). Reviewer: Ben Anthes (Marburg) MSC: 14H10 14D06 14C20 14J29 PDFBibTeX XMLCite \textit{A. Castorena} et al., Osaka J. Math. 57, No. 1, 9--15 (2020; Zbl 1445.14044) Full Text: arXiv Euclid
Akhmedov, Anar; Ozbagci, Burak Exotic Stein fillings with arbitrary fundamental group. (English) Zbl 1397.57045 Geom. Dedicata 195, 265-281 (2018). Reviewer: Andrew Bucki (Edmond) MSC: 57R17 PDFBibTeX XMLCite \textit{A. Akhmedov} and \textit{B. Ozbagci}, Geom. Dedicata 195, 265--281 (2018; Zbl 1397.57045) Full Text: DOI arXiv
Delzant, Thomas Kähler groups, \(\mathbb R\)-trees, and holomorphic families of Riemann surfaces. (English) Zbl 1350.53093 Geom. Funct. Anal. 26, No. 1, 160-187 (2016). Reviewer: Dmitri Alekseevsky (Moscow) MSC: 53C55 20F65 32Q15 PDFBibTeX XMLCite \textit{T. Delzant}, Geom. Funct. Anal. 26, No. 1, 160--187 (2016; Zbl 1350.53093) Full Text: DOI
Szamuely, Tamás Heidelberg lectures on fundamental groups. (English) Zbl 1315.14029 Stix, Jakob (ed.), The arithmetic of fundamental groups. PIA 2010. Based on a meeting, Heidelberg, Germany, February 8–12, 2010. Berlin: Springer (ISBN 978-3-642-23904-5/hbk; 978-3-642-23905-2/ebook). Contributions in Mathematical and Computational Sciences 2, 53-74 (2012). MSC: 14F35 PDFBibTeX XMLCite \textit{T. Szamuely}, Contrib. Math. Comput. Sci. 2, 53--74 (2012; Zbl 1315.14029) Full Text: DOI
Kovács, Sándor J.; Lieblich, Max Erratum: “Boundedness of families of canonically polarized manifolds: a higher dimensional analogue of Shafarevich’s conjecture”. (English) Zbl 1234.14029 Ann. Math. (2) 173, No. 1, 585-617 (2011). Reviewer: Werner Kleinert (Berlin) MSC: 14J10 14D15 14C20 14D05 14H10 14A20 14D23 14D06 PDFBibTeX XMLCite \textit{S. J. Kovács} and \textit{M. Lieblich}, Ann. Math. (2) 173, No. 1, 585--617 (2011; Zbl 1234.14029) Full Text: DOI
Kovács, Sándor J.; Lieblich, Max Boundedness of families of canonically polarized manifolds: a higher dimensional analogue of Shafarevich’s conjecture. (English) Zbl 1223.14040 Ann. Math. (2) 172, No. 3, 1719-1748 (2010); erratum ibid. 173, No. 1, 585-617 (2011). MSC: 14J10 14D15 14C20 PDFBibTeX XMLCite \textit{S. J. Kovács} and \textit{M. Lieblich}, Ann. Math. (2) 172, No. 3, 1719--1748 (2010; Zbl 1223.14040) Full Text: DOI arXiv
Kebekus, Stefan; Kovács, Sándor J. Families of canonically polarized varieties over surfaces. (English) Zbl 1140.14031 Invent. Math. 172, No. 3, 657-682 (2008). Reviewer: Christopher Hacon (Salt Lake City) MSC: 14J10 14D06 PDFBibTeX XMLCite \textit{S. Kebekus} and \textit{S. J. Kovács}, Invent. Math. 172, No. 3, 657--682 (2008; Zbl 1140.14031) Full Text: DOI arXiv
Heier, Gordon Uniformly effective Shafarevich conjecture on families of hyperbolic curves over a curve with prescribed degeneracy locus. (English) Zbl 1066.14028 J. Math. Pures Appl. (9) 83, No. 7, 845-867 (2004). Reviewer: Vasyl I. Andriychuk (Lviv) MSC: 14H05 14G05 PDFBibTeX XMLCite \textit{G. Heier}, J. Math. Pures Appl. (9) 83, No. 7, 845--867 (2004; Zbl 1066.14028) Full Text: DOI arXiv
Caporaso, Lucia Remarks about uniform boundedness of rational points over function fields. (English) Zbl 1030.14022 Trans. Am. Math. Soc. 355, No. 9, 3475-3484 (2003). Reviewer: Vasyl I.Andriychuk (Lviv) MSC: 14N10 14H05 14H10 14G05 PDFBibTeX XMLCite \textit{L. Caporaso}, Trans. Am. Math. Soc. 355, No. 9, 3475--3484 (2003; Zbl 1030.14022) Full Text: DOI arXiv
Nguyen Khac Viet On certain Mordell-Weil lattices of hyperelliptic type on rational surfaces. (English) Zbl 0984.14013 J. Math. Sci., New York 102, No. 2, 3938-3977 (2000). Reviewer: B.Kunyavskii (Ramat Gan) MSC: 14H40 14J26 14G40 14J27 14M20 PDFBibTeX XMLCite \textit{Nguyen Khac Viet}, J. Math. Sci., New York 102, No. 2, 3938--3977 (2000; Zbl 0984.14013) Full Text: DOI
de Cataldo, Mark Andrea A. Vanishing via lifting to second Witt vectors and a proof of an isotriviality result. (English) Zbl 0943.14006 J. Algebra 219, No. 1, 255-265 (1999). Reviewer: Siamak Yassemi (Tehran) MSC: 14F17 PDFBibTeX XMLCite \textit{M. A. A. de Cataldo}, J. Algebra 219, No. 1, 255--265 (1999; Zbl 0943.14006) Full Text: DOI arXiv
Liu, Kefeng Remarks on the geometry of moduli spaces. (English) Zbl 0873.14031 Proc. Am. Math. Soc. 124, No. 3, 689-695 (1996). Reviewer: W.Kleinert (Berlin) MSC: 14H15 32G15 14H10 14D20 PDFBibTeX XMLCite \textit{K. Liu}, Proc. Am. Math. Soc. 124, No. 3, 689--695 (1996; Zbl 0873.14031) Full Text: DOI
Mazur, Barry Arithmetic on curves. (English) Zbl 0593.14021 Bull. Am. Math. Soc., New Ser. 14, 207-259 (1986). Reviewer: C.-G.Schmidt MSC: 14H25 14K15 01A65 14H52 11D99 PDFBibTeX XMLCite \textit{B. Mazur}, Bull. Am. Math. Soc., New Ser. 14, 207--259 (1986; Zbl 0593.14021) Full Text: DOI
Dolgachev, I. V.; Iskovskikh, V. A. Geometry of algebraic varieties. (English) Zbl 0375.14001 J. Sov. Math. 5, 803-864 (1976). MSC: 14A05 14E99 14-02 14C99 14F99 20B25 PDFBibTeX XMLCite \textit{I. V. Dolgachev} and \textit{V. A. Iskovskikh}, J. Sov. Math. 5, 803--864 (1976; Zbl 0375.14001) Full Text: DOI
Parshin, A. N. Algebraic curves over functional fields with a finite field of constants. (English) Zbl 0299.14016 Math. Notes 15, 330-335 (1974). MSC: 14H25 14G15 14H05 PDFBibTeX XMLCite \textit{A. N. Parshin}, Math. Notes 15, 330--335 (1974; Zbl 0299.14016) Full Text: DOI
Parshin, A. N. Arithmetic on algebraic varieties. (English) Zbl 0284.14004 J. Sov. Math. 1, 594-620 (1973). MSC: 14-03 14Gxx 12Exx 14Kxx 14L05 14H25 PDFBibTeX XMLCite \textit{A. N. Parshin}, J. Sov. Math. 1, 594--620 (1973; Zbl 0284.14004) Full Text: DOI