Checcoli, Sara; Veneziano, Francesco; Viada, Evelina The explicit Mordell conjecture for families of curves. (English) Zbl 07109833 Forum Math. Sigma 7, Paper No. e31, 62 p. (2019). MSC: 11G50 14G40 PDF BibTeX XML Cite \textit{S. Checcoli} et al., Forum Math. Sigma 7, Paper No. e31, 62 p. (2019; Zbl 07109833) Full Text: DOI
Abramovich, Dan; Várilly-Alvarado, Anthony Level structures on abelian varieties, Kodaira dimensions, and Lang’s conjecture. (English) Zbl 1405.14115 Adv. Math. 329, 523-540 (2018). Reviewer: Salman Abdulali (Greenville) MSC: 14K10 14K15 11G18 11G10 PDF BibTeX XML Cite \textit{D. Abramovich} and \textit{A. Várilly-Alvarado}, Adv. Math. 329, 523--540 (2018; Zbl 1405.14115) Full Text: DOI
Várilly-Alvarado, Anthony Arithmetic of \(K3\) surfaces. (English) Zbl 1407.14032 Bogomolov, Fedor (ed.) et al., Geometry over nonclosed fields. Proceedings of the Simons symposium, March 22–28, 2015. Cham: Springer. Simons Symp., 197-248 (2017). Reviewer: Noriko Yui (Kingston) MSC: 14J28 PDF BibTeX XML Cite \textit{A. Várilly-Alvarado}, in: Geometry over nonclosed fields. Proceedings of the Simons symposium, March 22--28, 2015. Cham: Springer. 197--248 (2017; Zbl 1407.14032) Full Text: DOI
Várilly-Alvarado, Anthony; Viray, Bianca Abelian \(n\)-division fields of elliptic curves and Brauer groups of product Kummer & abelian surfaces. (English) Zbl 1408.14077 Forum Math. Sigma 5, Paper No. e26, 42 p. (2017); corrigendum ibid. 8, Paper No. e60, 4 p. (2020). Reviewer: G. K. Sankaran (Bath) MSC: 14F22 11G05 14J28 14K05 11G10 PDF BibTeX XML Cite \textit{A. Várilly-Alvarado} and \textit{B. Viray}, Forum Math. Sigma 5, Paper No. e26, 42 p. (2017; Zbl 1408.14077) Full Text: DOI
Abramovich, Dan; Várilly-Alvarado, Anthony Level structures on abelian varieties and Vojta’s conjecture. With an Appendix by Keerthi Madapusi Pera. (English) Zbl 1386.14164 Compos. Math. 153, No. 2, 373-394 (2017). Reviewer: Salman Abdulali (Greenville) MSC: 14K10 14K15 11G35 11G18 11G10 PDF BibTeX XML Cite \textit{D. Abramovich} and \textit{A. Várilly-Alvarado}, Compos. Math. 153, No. 2, 373--394 (2017; Zbl 1386.14164) Full Text: DOI arXiv
González-Jiménez, Enrique; Xarles, Xavier Five squares in arithmetic progression over quadratic fields. (English) Zbl 1362.11013 Rev. Mat. Iberoam. 29, No. 4, 1211-1238 (2013). MSC: 11B25 11N36 11G30 14H25 PDF BibTeX XML Cite \textit{E. González-Jiménez} and \textit{X. Xarles}, Rev. Mat. Iberoam. 29, No. 4, 1211--1238 (2013; Zbl 1362.11013) Full Text: DOI arXiv
Xarles, Xavier Trivial points on towers of curves. (English. French summary) Zbl 1294.11109 J. Théor. Nombres Bordx. 25, No. 2, 477-498 (2013). Reviewer: Christophe Ritzenthaler (Marseille) MSC: 11G30 11G20 11B39 11D45 14G25 PDF BibTeX XML Cite \textit{X. Xarles}, J. Théor. Nombres Bordx. 25, No. 2, 477--498 (2013; Zbl 1294.11109) Full Text: DOI Link arXiv
Levin, Aaron Rational preimages in families of dynamical systems. (English) Zbl 1302.37060 Monatsh. Math. 168, No. 3-4, 473-501 (2012). MSC: 37P15 14G25 37P05 PDF BibTeX XML Cite \textit{A. Levin}, Monatsh. Math. 168, No. 3--4, 473--501 (2012; Zbl 1302.37060) Full Text: DOI arXiv
Cadoret, Anna; Tamagawa, Akio Uniform boundedness of \(p\)-primary torsion of abelian schemes. (English) Zbl 1294.14011 Invent. Math. 188, No. 1, 83-125 (2012). Reviewer: Boris Kunyavskii (Ramat Gan) MSC: 14G32 11G10 11G30 14H30 14D22 PDF BibTeX XML Cite \textit{A. Cadoret} and \textit{A. Tamagawa}, Invent. Math. 188, No. 1, 83--125 (2012; Zbl 1294.14011) Full Text: DOI
Stoll, Michael Rational points on curves. (English. French summary) Zbl 1270.11030 J. Théor. Nombres Bordx. 23, No. 1, 257-277 (2011). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11D41 11G30 14G05 14G25 PDF BibTeX XML Cite \textit{M. Stoll}, J. Théor. Nombres Bordx. 23, No. 1, 257--277 (2011; Zbl 1270.11030) Full Text: DOI EuDML arXiv
Harris, Joe; Tschinkel, Yuri Rational points on quartics. (English) Zbl 0982.14013 Duke Math. J. 104, No. 3, 477-500 (2000). Reviewer: Jannis A.Antoniadis (Iraklion) MSC: 14G05 14J45 14J30 PDF BibTeX XML Cite \textit{J. Harris} and \textit{Y. Tschinkel}, Duke Math. J. 104, No. 3, 477--500 (2000; Zbl 0982.14013) Full Text: DOI arXiv
Kulesz, Leopoldo Application of the method of Dem’yanenko-Manin to certain families of curves of genus 2 or 3. (Application de la méthode de Dem’janenko-Manin à certaines familles de courbes de genre 2 et 3.) (French) Zbl 0941.11027 J. Number Theory 76, No. 1, 130-146 (1999). Reviewer: H.G.Zimmer (Saarbrücken) MSC: 11G30 11G05 14H25 14H52 PDF BibTeX XML Cite \textit{L. Kulesz}, J. Number Theory 76, No. 1, 130--146 (1999; Zbl 0941.11027) Full Text: DOI
Ross, Raymond Minimal torsion in isogeny classes of elliptic curves. (English) Zbl 0813.14021 Trans. Am. Math. Soc. 344, No. 1, 203-215 (1994). Reviewer: R.J.Stroeker (Rotterdam) MSC: 14H52 14H25 14K02 11G05 PDF BibTeX XML Cite \textit{R. Ross}, Trans. Am. Math. Soc. 344, No. 1, 203--215 (1994; Zbl 0813.14021) Full Text: DOI
Kamienny, S. Torsion points on elliptic curves and \(q\)-coefficients of modular forms. (English) Zbl 0773.14016 Invent. Math. 109, No. 2, 221-229 (1992). Reviewer: G.Frey (Saarbrücken) MSC: 14H52 14G35 11G05 14H40 PDF BibTeX XML Cite \textit{S. Kamienny}, Invent. Math. 109, No. 2, 221--229 (1992; Zbl 0773.14016) Full Text: DOI EuDML
Kamienny, S. Torsion points on elliptic curves. (English) Zbl 0714.11033 Bull. Am. Math. Soc., New Ser. 23, No. 2, 371-373 (1990). Reviewer: S.Kamienny MSC: 11G05 11G18 14H25 11F11 14H52 PDF BibTeX XML Cite \textit{S. Kamienny}, Bull. Am. Math. Soc., New Ser. 23, No. 2, 371--373 (1990; Zbl 0714.11033) Full Text: DOI
Kamienny, S. On the torsion subgroups of elliptic curves over toally real fields. (English) Zbl 0585.14023 Invent. Math. 83, 545-551 (1986). Reviewer: K.Lai MSC: 14H45 14G05 14H25 14H52 11D25 11R80 PDF BibTeX XML Cite \textit{S. Kamienny}, Invent. Math. 83, 545--551 (1986; Zbl 0585.14023) Full Text: DOI EuDML
Mazur, B. Rational isogenies of prime degree. (With an appendix by D. Goldfeld). (English) Zbl 0386.14009 Invent. Math. 44, 129-162 (1978). MSC: 14G05 14H45 14H52 14L30 11F03 14E30 14H40 PDF BibTeX XML Cite \textit{B. Mazur}, Invent. Math. 44, 129--162 (1978; Zbl 0386.14009) Full Text: DOI EuDML
Mazur, B. Modular curves and the Eisenstein ideal. (English) Zbl 0394.14008 Publ. Math., Inst. Hautes Étud. Sci. 47, 33-186 (1977). Reviewer: L. D. Olson MSC: 14G35 11G18 14G05 14H45 14H52 14H40 11F06 PDF BibTeX XML Cite \textit{B. Mazur}, Publ. Math., Inst. Hautes Étud. Sci. 47, 33--186 (1977; Zbl 0394.14008) Full Text: DOI Numdam EuDML
Dem’yanenko, V. A. On exact bounds of the \(p\) torsion of some curves of the first type. (English) Zbl 0358.14010 Math. Notes 21, 3-5 (1977). MSC: 14G05 14H45 14K22 PDF BibTeX XML Cite \textit{V. A. Dem'yanenko}, Math. Notes 21, 3--5 (1977; Zbl 0358.14010) Full Text: DOI
Tate, John T. The arithmetic of elliptic curves. (English) Zbl 0296.14018 Invent. Math. 23, 179-206 (1974). Reviewer: F. van der Blij MSC: 11G05 14H52 14H45 14K05 14G99 PDF BibTeX XML Cite \textit{J. T. Tate}, Invent. Math. 23, 179--206 (1974; Zbl 0296.14018) Full Text: DOI EuDML
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 PDF BibTeX XML Cite \textit{A. N. Parshin}, J. Sov. Math. 1, 594--620 (1973; Zbl 0284.14004) Full Text: DOI