Balestrieri, Francesca; Johnson, Alexis; Newton, Rachel Explicit uniform bounds for Brauer groups of singular \(K3\) surfaces. (Bornes uniformes explicites pour les groupes de Brauer des surfaces \(K3\) singulières.) (English. French summary) Zbl 1528.14025 Ann. Inst. Fourier 73, No. 2, 567-607 (2023). Reviewer: Dino Festi (Milano) MSC: 14F22 11G35 14J28 PDFBibTeX XMLCite \textit{F. Balestrieri} et al., Ann. Inst. Fourier 73, No. 2, 567--607 (2023; Zbl 1528.14025) Full Text: DOI arXiv
Campagna, Francesco Effective bounds on differences of singular moduli that are \(S\)-units. (English) Zbl 07653004 Math. Proc. Camb. Philos. Soc. 174, No. 2, 415-450 (2023). Reviewer: Cherng-tiao Perng (Norfolk) MSC: 11G05 14K22 11G15 11R52 11G50 PDFBibTeX XMLCite \textit{F. Campagna}, Math. Proc. Camb. Philos. Soc. 174, No. 2, 415--450 (2023; Zbl 07653004) Full Text: DOI arXiv
Cortadellas Benítez, Teresa; D’Andrea, Carlos; Montoro, M. Eulàlia Bounds for degrees of syzygies of polynomials defining a grade two ideal. (English) Zbl 1525.13040 J. Symb. Comput. 115, 124-141 (2023). MSC: 13P20 13D02 14Q20 68W30 PDFBibTeX XMLCite \textit{T. Cortadellas Benítez} et al., J. Symb. Comput. 115, 124--141 (2023; Zbl 1525.13040) Full Text: DOI arXiv
Merker, Joël; Ta, The-Anh Degrees \(d \geq \left (\sqrt{n} \log n\right)^n\) and \(d \geq \left (n \log n\right)^n\) in the conjectures of Green-Griffiths and of Kobayashi. (English) Zbl 1492.14062 Acta Math. Vietnam. 47, No. 1, 305-358 (2022). Reviewer: Hanlong Fang (Madison) MSC: 14J15 32Q45 14J60 14J70 PDFBibTeX XMLCite \textit{J. Merker} and \textit{T.-A. Ta}, Acta Math. Vietnam. 47, No. 1, 305--358 (2022; Zbl 1492.14062) Full Text: DOI arXiv
Cortadellas, Teresa; D’Andrea, Carlos; Montoro, M. Eulàlia Bounds for degrees of minimal \(\mu\)-bases of parametric surfaces. (English) Zbl 1473.14113 Mantzaflaris, Angelos (ed.), Proceedings of the 45th international symposium on symbolic and algebraic computation, ISSAC ’20, Kalamata, Greece, July 20–23, 2020. New York, NY: Association for Computing Machinery (ACM). 107-113 (2020). MSC: 14Q10 13D02 68W30 PDFBibTeX XMLCite \textit{T. Cortadellas} et al., in: Proceedings of the 45th international symposium on symbolic and algebraic computation, ISSAC '20, Kalamata, Greece, July 20--23, 2020. New York, NY: Association for Computing Machinery (ACM). 107--113 (2020; Zbl 1473.14113) Full Text: DOI
Mello, Jorge Canonical heights and monomial maps: on effective lower bounds for points with dense orbit. (English) Zbl 1436.37102 J. Number Theory 205, 321-339 (2019). MSC: 37P30 37P55 11G50 14E05 PDFBibTeX XMLCite \textit{J. Mello}, J. Number Theory 205, 321--339 (2019; Zbl 1436.37102) Full Text: DOI arXiv
Scheiblechner, Peter Effective de Rham cohomology – the general case. (English) Zbl 1422.14064 Commun. Contemp. Math. 21, No. 5, Article ID 1850067, 37 p. (2019). Reviewer: Josef Schicho (Linz) MSC: 14Q20 14F40 68W30 34C07 PDFBibTeX XMLCite \textit{P. Scheiblechner}, Commun. Contemp. Math. 21, No. 5, Article ID 1850067, 37 p. (2019; Zbl 1422.14064) Full Text: DOI arXiv
Jorgenson, Jay; Kramer, Jürg Effective bounds for Faltings’s delta function. (English. French summary) Zbl 1327.14127 Ann. Fac. Sci. Toulouse, Math. (6) 23, No. 3, 665-698 (2014). Reviewer: Shun Tang (Beijing) MSC: 14G40 PDFBibTeX XMLCite \textit{J. Jorgenson} and \textit{J. Kramer}, Ann. Fac. Sci. Toulouse, Math. (6) 23, No. 3, 665--698 (2014; Zbl 1327.14127) Full Text: DOI arXiv
Cascini, Paolo; Lazić, Vladimir On the number of minimal models of a log smooth threefold. (English) Zbl 1307.14057 J. Math. Pures Appl. (9) 102, No. 3, 597-616 (2014). Reviewer: Diletta Martinelli (London) MSC: 14J10 14E30 14C20 PDFBibTeX XMLCite \textit{P. Cascini} and \textit{V. Lazić}, J. Math. Pures Appl. (9) 102, No. 3, 597--616 (2014; Zbl 1307.14057) Full Text: DOI arXiv
Scheiblechner, Peter Effective de Rham cohomology: the hypersurface case. (English) Zbl 1323.14015 van der Hoeven, Joris (ed.) et al., Proceedings of the 37th international symposium on symbolic and algebraic computation, ISSAC 2012, Grenoble, France, July 22–25, 2012. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-1269-1). 305-310 (2012). MSC: 14F40 14Q10 68W30 PDFBibTeX XMLCite \textit{P. Scheiblechner}, in: Proceedings of the 37th international symposium on symbolic and algebraic computation, ISSAC 2012, Grenoble, France, July 22--25, 2012. New York, NY: Association for Computing Machinery (ACM). 305--310 (2012; Zbl 1323.14015) Full Text: DOI arXiv
Kedlaya, Kiran S.; Tuitman, Jan Effective convergence bounds for Frobenius structures on connections. (English) Zbl 1276.14032 Rend. Semin. Mat. Univ. Padova 128, 7-16 (2012). Reviewer: Nikolaj M. Glazunov (Kyïv) MSC: 14F30 11G25 11M38 14G22 12H25 14D05 PDFBibTeX XMLCite \textit{K. S. Kedlaya} and \textit{J. Tuitman}, Rend. Semin. Mat. Univ. Padova 128, 7--16 (2012; Zbl 1276.14032) Full Text: DOI arXiv Link
Kumar, Abhinav; Lokam, Satyanarayana V.; Patankar, Vijay M.; Sarma M. N., Jayalal Using elimination theory to construct rigid matrices. (English) Zbl 1248.68221 Kannan, Ravi (ed.) et al., IARCS annual conference on foundations of software technology and theoretical computer science (FSTTCS 2009), December 15–17, 2009, Kanpur, India. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik (ISBN 978-3-939897-13-2). LIPIcs – Leibniz International Proceedings in Informatics 4, 299-310, electronic only (2009). MSC: 68Q17 13P10 14Q10 15A03 15A15 68Q25 68W30 PDFBibTeX XMLCite \textit{A. Kumar} et al., LIPIcs -- Leibniz Int. Proc. Inform. 4, 299--310 (2009; Zbl 1248.68221) Full Text: DOI Link
Bérczes, Attila; Győry, Kálmán; Evertse, Jan-Hendrik; Pontreau, Corentin Effective results for points on certain subvarieties of tori. (English) Zbl 1177.11054 Math. Proc. Camb. Philos. Soc. 147, No. 1, 69-94 (2009). Reviewer: G. K. Sankaran (Bath) MSC: 11G50 14G05 14L99 PDFBibTeX XMLCite \textit{A. Bérczes} et al., Math. Proc. Camb. Philos. Soc. 147, No. 1, 69--94 (2009; Zbl 1177.11054) Full Text: DOI
David, Sinnou; Philippon, Patrice Torsion subvarieties of semi-abelian varieties. (Sous-variétés de torsion des variétés semi-abéliennes.) (French. Abridged English version) Zbl 0972.11059 C. R. Acad. Sci., Paris, Sér. I, Math. 331, No. 8, 587-592 (2000). Reviewer: Michel Waldschmidt (Paris) MSC: 11G50 14G05 14K15 14G40 PDFBibTeX XMLCite \textit{S. David} and \textit{P. Philippon}, C. R. Acad. Sci., Paris, Sér. I, Math. 331, No. 8, 587--592 (2000; Zbl 0972.11059) Full Text: DOI
Rémond, Gaël Theta heights and Kodaira construction. (Hauteurs thêta et construction de Kodaira.) (French) Zbl 0947.14016 J. Number Theory 78, No. 2, 287-311 (1999). Reviewer: V.V.Chueshev (Kemerovo) MSC: 14H42 14K25 14H40 14G05 14G40 PDFBibTeX XMLCite \textit{G. Rémond}, J. Number Theory 78, No. 2, 287--311 (1999; Zbl 0947.14016) Full Text: DOI
Parent, Pierre Effective bounds for the torsion of elliptic curves over number fields. (Bornes effectives pour la torsion des courbes elliptiques sur les corps de nombres.) (French) Zbl 0919.11040 J. Reine Angew. Math. 506, 85-116 (1999). Reviewer: P.Parent (Rennes) MSC: 11G05 14H52 PDFBibTeX XMLCite \textit{P. Parent}, J. Reine Angew. Math. 506, 85--116 (1999; Zbl 0919.11040) Full Text: DOI
Grant, David Integer points on curves of genus 2 and their Jacobians. (English) Zbl 0828.11032 Trans. Am. Math. Soc. 344, No. 1, 79-100 (1994). Reviewer: P.Vojta (Berkeley) MSC: 11G30 14H40 14H45 11G10 PDFBibTeX XMLCite \textit{D. Grant}, Trans. Am. Math. Soc. 344, No. 1, 79--100 (1994; Zbl 0828.11032) Full Text: DOI
Sprindzhuk, Vladimir G. Classical diophantine equations. (English) Zbl 0787.11008 Lecture Notes in Mathematics. 1559. Berlin: Springer-Verlag. xii, 228 p. (1993). Reviewer: R.P.Steiner (Bowling Green) MSC: 11Dxx 11Jxx 11-02 11R09 11R29 14Gxx PDFBibTeX XMLCite \textit{V. G. Sprindzhuk}, Classical diophantine equations. Berlin: Springer-Verlag (1993; Zbl 0787.11008)
Wüstholz, G. From Baker to Mordell. (English) Zbl 0814.11037 Gong, Sheng (ed.) et al., International symposium on number theory and analysis in memory of Hua Loo Keng, held August 1-7, 1988 at the Tsing Hua University, Beijing, China. Volume I: Number theory. Berlin: Springer-Verlag. 323-330 (1991). Reviewer: D.Roy (Ottawa) MSC: 11J86 11G10 14K02 PDFBibTeX XMLCite \textit{G. Wüstholz}, in: International symposium on number theory and analysis in memory of Hua Loo Keng, held August 1-7, 1988 at the Tsing Hua University, Beijing, China. Volume I: Number theory. Berlin: Springer-Verlag; Beijing: Science Press. 323--330 (1991; Zbl 0814.11037)
Heintz, Joos; Roy, Marie-Françoise; Solernó, Pablo Description of the connected components of a semi-algebraic set in single exponential time. (Description des composantes connexes d’un ensemble semialgébrique en temps simplement exponentiel.) (French) Zbl 0764.14024 C. R. Acad. Sci., Paris, Sér. I 313, No. 4, 167-170 (1991). Reviewer: J.M.Ruiz (Madrid) MSC: 14Q20 14P10 68Q25 03C10 PDFBibTeX XMLCite \textit{J. Heintz} et al., C. R. Acad. Sci., Paris, Sér. I 313, No. 4, 167--170 (1991; Zbl 0764.14024)
Parshin, A. N. The Bogomolov-Miyaoka-Yau inequality for the arithmetical surfaces and its applications. (English) Zbl 0705.14022 Sémin. Théor. Nombres, Paris 1986-87, Prog. Math. 75, 299-312 (1988). Reviewer: U.Persson MSC: 14F45 14G05 14J25 PDFBibTeX XML
Brownawell, W. Dale Borne effective pour l’exposant dans le théorème des zéros. (An effective bound for the exponent in the Nullstellensatz). (French) Zbl 0648.13011 C. R. Acad. Sci., Paris, Sér. I 305, 287-290 (1987). Reviewer: C.U.Jensen MSC: 13F20 14A05 PDFBibTeX XMLCite \textit{W. D. Brownawell}, C. R. Acad. Sci., Paris, Sér. I 305, 287--290 (1987; Zbl 0648.13011)
Mason, R. C. Diophantine equations over function fields. (English) Zbl 0533.10012 London Mathematical Society Lecture Note Series, 96. Cambridge etc.: Cambridge University Press. X, 125 p. £7.95; $ 15.95 (1984). Reviewer: S.Uchiyama MSC: 11D88 11-02 11R58 11D61 11D99 11J68 11D41 14G05 PDFBibTeX XML
Martens, G. Funktionen von vorgegebener Ordnung auf komplexen Kurven. (German) Zbl 0441.14010 J. Reine Angew. Math. 320, 68-85 (1980). MSC: 14H05 30F20 14C20 PDFBibTeX XMLCite \textit{G. Martens}, J. Reine Angew. Math. 320, 68--85 (1980; Zbl 0441.14010) Full Text: DOI Crelle EuDML