Bridy, Andrew; Doyle, John R.; Ghioca, Dragos; Hsia, Liang-Chung; Tucker, Thomas J. Finite index theorems for iterated Galois groups of unicritical polynomials. (English) Zbl 07288870 Trans. Am. Math. Soc. 374, No. 1, 733-752 (2021). MSC: 37P15 11G50 11R32 14G25 37P05 37P30 PDF BibTeX XML Cite \textit{A. Bridy} et al., Trans. Am. Math. Soc. 374, No. 1, 733--752 (2021; Zbl 07288870) Full Text: DOI
Browning, T. D.; Heath-Brown, D. R. Density of rational points on a quadric bundle in \(\mathbb{P}^3 \times \mathbb{P}^3 \). (English) Zbl 07292325 Duke Math. J. 169, No. 16, 3099-3165 (2020). MSC: 11D45 11G50 11P55 14G05 14G25 PDF BibTeX XML Cite \textit{T. D. Browning} and \textit{D. R. Heath-Brown}, Duke Math. J. 169, No. 16, 3099--3165 (2020; Zbl 07292325) Full Text: DOI Euclid
Barroero, Fabrizio; Sha, Min Torsion points with multiplicatively dependent coordinates on elliptic curves. (English) Zbl 07276227 Bull. Lond. Math. Soc. 52, No. 5, 807-815 (2020). MSC: 11G05 11G50 11U09 14K05 PDF BibTeX XML Cite \textit{F. Barroero} and \textit{M. Sha}, Bull. Lond. Math. Soc. 52, No. 5, 807--815 (2020; Zbl 07276227) Full Text: DOI
Bianchi, Francesca Quadratic Chabauty for (bi)elliptic curves and Kim’s conjecture. (English) Zbl 07275231 Algebra Number Theory 14, No. 9, 2369-2416 (2020). MSC: 11D45 11G50 11Y50 14H52 PDF BibTeX XML Cite \textit{F. Bianchi}, Algebra Number Theory 14, No. 9, 2369--2416 (2020; Zbl 07275231) Full Text: DOI
Banerjee, Debargha; Borah, Diganta; Chaudhuri, Chitrabhanu Arakelov self-intersection numbers of minimal regular models of modular curves \(X_0(p^2)\). (English) Zbl 07263160 Math. Z. 296, No. 3-4, 1287-1329 (2020). MSC: 14G40 37P30 11F37 11F72 11G50 PDF BibTeX XML Cite \textit{D. Banerjee} et al., Math. Z. 296, No. 3--4, 1287--1329 (2020; Zbl 07263160) Full Text: DOI
Bell, Jason P.; Hu, Fei; Satriano, Matthew Height gap conjectures, \(D\)-finiteness, and a weak dynamical Mordell-Lang conjecture. (English) Zbl 07262914 Math. Ann. 378, No. 3-4, 971-992 (2020). Reviewer: Riccardo Pengo (Lyon) MSC: 11G50 37P55 14E05 PDF BibTeX XML Cite \textit{J. P. Bell} et al., Math. Ann. 378, No. 3--4, 971--992 (2020; Zbl 07262914) Full Text: DOI
Andrews, Jesse; Petsche, Clayton Abelian extensions in dynamical Galois theory. (English) Zbl 07248678 Algebra Number Theory 14, No. 7, 1981-1999 (2020). MSC: 11R32 11G50 11R18 37P30 PDF BibTeX XML Cite \textit{J. Andrews} and \textit{C. Petsche}, Algebra Number Theory 14, No. 7, 1981--1999 (2020; Zbl 07248678) Full Text: DOI
Cluckers, Raf; Forey, Arthur; Loeser, François Uniform Yomdin-Gromov parametrizations and points of bounded height in valued fields. (English) Zbl 1442.11098 Algebra Number Theory 14, No. 6, 1423-1456 (2020). MSC: 11G50 03C98 11D88 11U09 14G05 PDF BibTeX XML Cite \textit{R. Cluckers} et al., Algebra Number Theory 14, No. 6, 1423--1456 (2020; Zbl 1442.11098) Full Text: DOI
Chalebgwa, Taboka Prince Algebraic values of entire functions with extremal growth orders: an extension of a theorem of Boxall and Jones. (English) Zbl 1446.11134 Can. Math. Bull. 63, No. 3, 536-546 (2020). MSC: 11J25 11G50 30D15 30D35 PDF BibTeX XML Cite \textit{T. P. Chalebgwa}, Can. Math. Bull. 63, No. 3, 536--546 (2020; Zbl 1446.11134) Full Text: DOI
Heier, Gordon; Levin, Aaron On the degeneracy of integral points and entire curves in the complement of nef effective divisors. (English) Zbl 07242312 J. Number Theory 217, 301-319 (2020). MSC: 11G35 11G50 11J87 14C20 14G05 14G40 32H30 32Q45 PDF BibTeX XML Cite \textit{G. Heier} and \textit{A. Levin}, J. Number Theory 217, 301--319 (2020; Zbl 07242312) Full Text: DOI
Dill, Gabriel A. Unlikely intersections with isogeny orbits in a product of elliptic schemes. (English) Zbl 07229164 Math. Ann. 377, No. 3-4, 1509-1545 (2020). MSC: 14G40 14K02 11G18 11G50 PDF BibTeX XML Cite \textit{G. A. Dill}, Math. Ann. 377, No. 3--4, 1509--1545 (2020; Zbl 07229164) Full Text: DOI
Coccia, Simone; Ghioca, Dragos A variant of Siegel’s theorem for Drinfeld modules. (English) Zbl 07226985 J. Number Theory 216, 142-156 (2020). MSC: 11G50 11J68 37F10 PDF BibTeX XML Cite \textit{S. Coccia} and \textit{D. Ghioca}, J. Number Theory 216, 142--156 (2020; Zbl 07226985) Full Text: DOI
Zhizhong, Huang Diophantine approximation and local distribution on a toric surface. II. (English) Zbl 07226619 Bull. Soc. Math. Fr. 148, No. 2, 189-235 (2020). MSC: 11G50 11K60 14M25 PDF BibTeX XML Cite \textit{H. Zhizhong}, Bull. Soc. Math. Fr. 148, No. 2, 189--235 (2020; Zbl 07226619) Full Text: DOI
Hajli, Mounir A new formula for Mahler’s measure. (English) Zbl 1442.11139 Funct. Approximatio, Comment. Math. 62, No. 2, 165-170 (2020). MSC: 11R06 11G50 11K60 14G40 PDF BibTeX XML Cite \textit{M. Hajli}, Funct. Approximatio, Comment. Math. 62, No. 2, 165--170 (2020; Zbl 1442.11139) Full Text: DOI Euclid
Schoof, René Heights and principal ideals of certain cyclotomic fields. (English) Zbl 07220064 Chakraborty, Kalyan (ed.) et al., Class groups of number fields and related topics. Collected papers presented at the first international conference, ICCGNFRT, Harish-Chandra Research Institute, Allahabad, India, September 4–7, 2017. Singapore: Springer (ISBN 978-981-15-1513-2/hbk; 978-981-15-1514-9/ebook). 89-96 (2020). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R18 11R44 11G50 PDF BibTeX XML Cite \textit{R. Schoof}, in: Class groups of number fields and related topics. Collected papers presented at the first international conference, ICCGNFRT, Harish-Chandra Research Institute, Allahabad, India, September 4--7, 2017. Singapore: Springer. 89--96 (2020; Zbl 07220064) Full Text: DOI
Bell, Jason P.; Nguyen, Khoa D.; Zannier, Umberto D-finiteness, rationality, and height. (English) Zbl 07215119 Trans. Am. Math. Soc. 373, No. 7, 4889-4906 (2020). MSC: 11D61 11G50 13F25 PDF BibTeX XML Cite \textit{J. P. Bell} et al., Trans. Am. Math. Soc. 373, No. 7, 4889--4906 (2020; Zbl 07215119) Full Text: DOI
Looper, Nicole R. The \(ABC\)-conjecture implies uniform bounds on dynamical Zsigmondy sets. (English) Zbl 07215111 Trans. Am. Math. Soc. 373, No. 7, 4627-4647 (2020). Reviewer: Riccardo Pengo (Lyon) MSC: 11G50 11R32 37P15 14G05 37P45 PDF BibTeX XML Cite \textit{N. R. Looper}, Trans. Am. Math. Soc. 373, No. 7, 4627--4647 (2020; Zbl 07215111) Full Text: DOI
Tanimoto, Sho On upper bounds of Manin type. (English) Zbl 07213913 Algebra Number Theory 14, No. 3, 751-784 (2020). MSC: 14G05 11G50 14J28 14J45 PDF BibTeX XML Cite \textit{S. Tanimoto}, Algebra Number Theory 14, No. 3, 751--784 (2020; Zbl 07213913) Full Text: DOI
DeMarco, Laura; Mavraki, Niki Myrto Variation of canonical height and equidistribution. (English) Zbl 07208779 Am. J. Math. 142, No. 2, 443-473 (2020). MSC: 11G50 14G40 37P05 PDF BibTeX XML Cite \textit{L. DeMarco} and \textit{N. M. Mavraki}, Am. J. Math. 142, No. 2, 443--473 (2020; Zbl 07208779) Full Text: DOI
Hu, L. Q. Counting rational points on biprojective hypersurfaces of bidegree \((1,2)\). (English) Zbl 07206996 J. Number Theory 214, 312-325 (2020). MSC: 11D45 11G35 11G50 11P55 14G25 PDF BibTeX XML Cite \textit{L. Q. Hu}, J. Number Theory 214, 312--325 (2020; Zbl 07206996) Full Text: DOI
Beshaj, L.; Gutierrez, J.; Shaska, T. Weighted greatest common divisors and weighted heights. (English) Zbl 1440.11114 J. Number Theory 213, 319-346 (2020). MSC: 11G50 14H10 14H45 14G40 PDF BibTeX XML Cite \textit{L. Beshaj} et al., J. Number Theory 213, 319--346 (2020; Zbl 1440.11114) Full Text: DOI
Barroero, Fabrizio Corrigendum to “CM relations in fibered powers of elliptic families”. (English) Zbl 1436.11059 J. Inst. Math. Jussieu 19, No. 3, 1029 (2020). MSC: 11G05 11G15 11G50 11U09 PDF BibTeX XML Cite \textit{F. Barroero}, J. Inst. Math. Jussieu 19, No. 3, 1029 (2020; Zbl 1436.11059) Full Text: DOI
Cluckers, Raf; Pila, Jonathan; Wilkie, Alex Uniform parameterization of subanalytic sets and Diophantine applications. (English) Zbl 07201735 Ann. Sci. Éc. Norm. Supér. (4) 53, No. 1, 1-42 (2020). MSC: 03C64 11D45 11G50 PDF BibTeX XML Cite \textit{R. Cluckers} et al., Ann. Sci. Éc. Norm. Supér. (4) 53, No. 1, 1--42 (2020; Zbl 07201735) Full Text: DOI
Sano, Kaoru Dynamical degree and arithmetic degree of endomorphisms on product varieties. (English) Zbl 07199984 Tohoku Math. J. (2) 72, No. 1, 1-13 (2020). MSC: 37P55 11G50 PDF BibTeX XML Cite \textit{K. Sano}, Tohoku Math. J. (2) 72, No. 1, 1--13 (2020; Zbl 07199984) Full Text: DOI Euclid
Barroero, F.; Capuano, L. Unlikely intersections in families of abelian varieties and the polynomial Pell equation. (English) Zbl 1446.14026 Proc. Lond. Math. Soc. (3) 120, No. 2, 192-219 (2020). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 14K05 11G05 14G25 11G30 11G50 11U09 PDF BibTeX XML Cite \textit{F. Barroero} and \textit{L. Capuano}, Proc. Lond. Math. Soc. (3) 120, No. 2, 192--219 (2020; Zbl 1446.14026) Full Text: DOI
DeMarco, Laura; Krieger, Holly; Ye, Hexi Uniform Manin-Mumford for a family of genus 2 curves. (English) Zbl 07190307 Ann. Math. (2) 191, No. 3, 949-1001 (2020). Reviewer: Michel Waldschmidt (Paris) MSC: 14H40 11G50 37P50 PDF BibTeX XML Cite \textit{L. DeMarco} et al., Ann. Math. (2) 191, No. 3, 949--1001 (2020; Zbl 07190307) Full Text: DOI
Grizzard, Robert; Vaaler, Jeffrey D. Multiplicative approximation by the Weil height. (English) Zbl 07189065 Trans. Am. Math. Soc. 373, No. 5, 3235-3259 (2020). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11J25 11R04 11G50 46B04 PDF BibTeX XML Cite \textit{R. Grizzard} and \textit{J. D. Vaaler}, Trans. Am. Math. Soc. 373, No. 5, 3235--3259 (2020; Zbl 07189065) Full Text: DOI
Pinner, Christopher; Smyth, Christopher Integer group determinants for small groups. (English) Zbl 07176802 Ramanujan J. 51, No. 2, 421-453 (2020). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R06 15B36 11B83 11C20 11G50 11R09 11T22 43A40 PDF BibTeX XML Cite \textit{C. Pinner} and \textit{C. Smyth}, Ramanujan J. 51, No. 2, 421--453 (2020; Zbl 07176802) Full Text: DOI
Kawaguchi, Shu; Silverman, Joseph H. Addendum to “Dynamical canonical heights for Jordan blocks, arithmetic degrees of orbits, and nef canonical heights on abelian varieties”. (English) Zbl 1433.37085 Trans. Am. Math. Soc. 373, No. 3, 2253 (2020). MSC: 37P30 37P15 37P55 11G10 11G50 PDF BibTeX XML Cite \textit{S. Kawaguchi} and \textit{J. H. Silverman}, Trans. Am. Math. Soc. 373, No. 3, 2253 (2020; Zbl 1433.37085) Full Text: DOI
Fukshansky, Lenny; Shi, Yingqi Positive semigroups and generalized Frobenius numbers over totally real number fields. (English) Zbl 1448.11066 Mosc. J. Comb. Number Theory 9, No. 1, 29-41 (2020). MSC: 11D07 11H06 52C07 11D45 11G50 PDF BibTeX XML Cite \textit{L. Fukshansky} and \textit{Y. Shi}, Mosc. J. Comb. Number Theory 9, No. 1, 29--41 (2020; Zbl 1448.11066) Full Text: DOI
Dill, Gabriel A. Generalized Vojta-Rémond inequality. (English) Zbl 07164132 Int. J. Number Theory 16, No. 1, 107-120 (2020). MSC: 11G35 11G50 14G25 14G40 PDF BibTeX XML Cite \textit{G. A. Dill}, Int. J. Number Theory 16, No. 1, 107--120 (2020; Zbl 07164132) Full Text: DOI
Panti, Giovanni Decreasing height along continued fractions. (English) Zbl 1439.37008 Ergodic Theory Dyn. Syst. 40, No. 3, 763-788 (2020). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 37A44 11A55 11G50 37P30 37B10 PDF BibTeX XML Cite \textit{G. Panti}, Ergodic Theory Dyn. Syst. 40, No. 3, 763--788 (2020; Zbl 1439.37008) Full Text: DOI
Giard, Antoine Mahler measure of a non-tempered Weierstrass form. (English) Zbl 1445.11122 J. Number Theory 209, 225-245 (2020). Reviewer: Riccardo Pengo (København) MSC: 11R06 11F67 11G05 11G50 14M25 19D55 19F27 33E05 PDF BibTeX XML Cite \textit{A. Giard}, J. Number Theory 209, 225--245 (2020; Zbl 1445.11122) Full Text: DOI
Mello, Jorge On variation of dynamical canonical heights for semigroups of morphisms. (English) Zbl 1434.37055 J. Pure Appl. Algebra 224, No. 3, 1195-1204 (2020). MSC: 37P55 11G50 37P30 PDF BibTeX XML Cite \textit{J. Mello}, J. Pure Appl. Algebra 224, No. 3, 1195--1204 (2020; Zbl 1434.37055) Full Text: DOI
van Bommel, Raymond; Holmes, David; Müller, J. Steffen Explicit arithmetic intersection theory and computation of Néron-Tate heights. (English) Zbl 1426.14006 Math. Comput. 89, No. 321, 395-410 (2020). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 14G40 11G30 11G50 37P30 11G10 PDF BibTeX XML Cite \textit{R. van Bommel} et al., Math. Comput. 89, No. 321, 395--410 (2020; Zbl 1426.14006) Full Text: DOI
Gao, Ziyang; von Känel, Rafael; Mocz, Lucia Faltings heights and \(L\)-functions: minicourse given by Shou-Wu Zhang. (English) Zbl 07274013 Wüstholz, Gisbert (ed.) et al., Arithmetic and geometry. Ten years in Alpbach. Princeton, NJ: Princeton University Press (ISBN 978-0-691-19378-6/hbk; 978-0-691-19377-9/pbk; 978-0-691-19754-8/ebook). Annals of Mathematics Studies 202, 102-174 (2019). MSC: 11G50 11G40 PDF BibTeX XML Cite \textit{Z. Gao} et al., Ann. Math. Stud. 202, 102--174 (2019; Zbl 07274013)
Le Rudulier, Cécile Algebraic points of bounded height on a surface. (French. English summary) Zbl 1440.14127 Bull. Soc. Math. Fr. 147, No. 4, 705-748 (2019). MSC: 14G05 11G35 14C05 11G50 PDF BibTeX XML Cite \textit{C. Le Rudulier}, Bull. Soc. Math. Fr. 147, No. 4, 705--748 (2019; Zbl 1440.14127) Full Text: DOI
Fujita, Yasutsugu; Nara, Tadahisa Generators and integral points on certain quartic curves. (English) Zbl 1446.11108 Glas. Mat., III. Ser. 54, No. 2, 321-343 (2019). Reviewer: Noburo Ishii (Kyoto) MSC: 11G05 11D25 11G50 PDF BibTeX XML Cite \textit{Y. Fujita} and \textit{T. Nara}, Glas. Mat., III. Ser. 54, No. 2, 321--343 (2019; Zbl 1446.11108) Full Text: DOI
Cheng, Teng Primitive prime divisors for weighted homogeneous polynomial. (English) Zbl 07157358 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 62(110), No. 2, 173-182 (2019). Reviewer: Ranjeet Sehmi (Chandigarh) MSC: 11B83 11G50 PDF BibTeX XML Cite \textit{T. Cheng}, Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 62(110), No. 2, 173--182 (2019; Zbl 07157358)
Okazaki, Masao Height one matrices. (English) Zbl 1437.16021 Nihonkai Math. J. 30, No. 1, 19-26 (2019). MSC: 16S50 11G50 15A60 PDF BibTeX XML Cite \textit{M. Okazaki}, Nihonkai Math. J. 30, No. 1, 19--26 (2019; Zbl 1437.16021) Full Text: Link
Baker, Roger; Masser, David Siegel’s lemma is sharp for almost all linear systems. (English) Zbl 1442.11103 Bull. Lond. Math. Soc. 51, No. 5, 853-867 (2019). Reviewer: Sam Chow (Coventry) MSC: 11J13 11H06 11G50 PDF BibTeX XML Cite \textit{R. Baker} and \textit{D. Masser}, Bull. Lond. Math. Soc. 51, No. 5, 853--867 (2019; Zbl 1442.11103) Full Text: DOI
Okazaki, Masao A Bogomolov type property relative to a normalized height on \(M_n(\overline{\mathbb{Q}})\). (English) Zbl 07140520 Note Mat. 39, No. 1, 59-64 (2019). MSC: 11G50 11C20 PDF BibTeX XML Cite \textit{M. Okazaki}, Note Mat. 39, No. 1, 59--64 (2019; Zbl 07140520) Full Text: DOI
De Marco, Laura; Ghioca, Dragos; Krieger, Holly; Nguyen, Khoa Dang; Tucker, Thomas; Ye, Hexi Bounded height in families of dynamical systems. (English) Zbl 1431.37076 Int. Math. Res. Not. 2019, No. 8, 2453-2482 (2019). MSC: 37P05 37P30 11G50 PDF BibTeX XML Cite \textit{L. De Marco} et al., Int. Math. Res. Not. 2019, No. 8, 2453--2482 (2019; Zbl 1431.37076) Full Text: DOI
Le Boudec, Pierre A statistical view on the conjecture of lang about the canonical height on elliptic curves. (English) Zbl 07130344 Trans. Am. Math. Soc. 372, No. 12, 8347-8361 (2019). MSC: 11D45 11G05 11G50 14G05 PDF BibTeX XML Cite \textit{P. Le Boudec}, Trans. Am. Math. Soc. 372, No. 12, 8347--8361 (2019; Zbl 07130344) Full Text: DOI arXiv
von Buhren, Jérôme Semi-effective bound on the height for the Mordell-Lang problem in a torus. (Borne de hauteur semi-effective pour le problème de Mordell-Lang dans un tore.) (English) Zbl 1447.11070 Funct. Approximatio, Comment. Math. 61, No. 1, 109-120 (2019). MSC: 11G35 11G50 14G05 PDF BibTeX XML Cite \textit{J. von Buhren}, Funct. Approximatio, Comment. Math. 61, No. 1, 109--120 (2019; Zbl 1447.11070) Full Text: DOI Euclid
Bell, Jason; Ghioca, Dragos; Tucker, Thomas J. Bounding periods of subvarieties of \((\mathbb{P}^1)^n\). (English) Zbl 1428.37101 Math. Res. Lett. 26, No. 4, 949-971 (2019). MSC: 37P15 14J50 37P05 11G50 PDF BibTeX XML Cite \textit{J. Bell} et al., Math. Res. Lett. 26, No. 4, 949--971 (2019; Zbl 1428.37101) Full Text: DOI
Martínez, César The number of maximal torsion cosets in subvarieties of tori. (English) Zbl 1427.14051 J. Reine Angew. Math. 755, 103-126 (2019). Reviewer: G. K. Sankaran (Bath) MSC: 14G05 11G35 11G50 14M25 12E12 14G25 52A20 PDF BibTeX XML Cite \textit{C. Martínez}, J. Reine Angew. Math. 755, 103--126 (2019; Zbl 1427.14051) Full Text: DOI arXiv
Mello, Jorge On quantitative estimates for quasiintegral points in orbits of semigroups of rational maps. (English) Zbl 1445.37078 New York J. Math. 25, 1091-1111 (2019). Reviewer: Georgi Hristov Georgiev (Shumen) MSC: 37P15 37P30 11G50 14E05 PDF BibTeX XML Cite \textit{J. Mello}, New York J. Math. 25, 1091--1111 (2019; Zbl 1445.37078) Full Text: Link
Müller, J. Steffen; Stumpe, Corinna Archimedean local height differences on elliptic curves. (English) Zbl 07118298 Acta Arith. 190, No. 3, 293-303 (2019). MSC: 11G50 14G05 11G05 11G07 PDF BibTeX XML Cite \textit{J. S. Müller} and \textit{C. Stumpe}, Acta Arith. 190, No. 3, 293--303 (2019; Zbl 07118298) Full Text: DOI arXiv
Pazuki, Fabien Decompositions in local heights. (Décompositions en hauteurs locales.) (French. English summary) Zbl 07117894 Aubry, Yves (ed.) et al., Arithmetic geometry: computation and applications. 16th international conference on arithmetic, geometry, cryptography, and coding theory, AGC2T, CIRM, Marseille, France, June 19–23, 2017. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4212-5/pbk; 978-1-4704-5104-2/ebook). Contemporary Mathematics 722, 121-140 (2019). MSC: 11G50 14G40 14G05 11G30 11G10 PDF BibTeX XML Cite \textit{F. Pazuki}, Contemp. Math. 722, 121--140 (2019; Zbl 07117894) Full Text: DOI
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 PDF BibTeX XML Cite \textit{D. Holmes}, Int. J. Number Theory 15, No. 9, 1801--1826 (2019; Zbl 1428.14041) Full Text: DOI
Fili, Paul A.; Pottmeyer, Lukas Quantitative height bounds under splitting conditions. (English) Zbl 1442.11099 Trans. Am. Math. Soc. 372, No. 7, 4605-4626 (2019). Reviewer: Artūras Dubickas (Vilnius) MSC: 11G50 11R06 37P30 31A15 PDF BibTeX XML Cite \textit{P. A. Fili} and \textit{L. Pottmeyer}, Trans. Am. Math. Soc. 372, No. 7, 4605--4626 (2019; Zbl 1442.11099) Full Text: DOI
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
Bertrand, Daniel; Schmidt, Harry Unlikely intersections in semiabelian surfaces. (English) Zbl 1423.14254 Algebra Number Theory 13, No. 6, 1455-1473 (2019). Reviewer: WonTae Hwang (Seoul) MSC: 14K15 11G18 11G15 11G50 11U09 PDF BibTeX XML Cite \textit{D. Bertrand} and \textit{H. Schmidt}, Algebra Number Theory 13, No. 6, 1455--1473 (2019; Zbl 1423.14254) Full Text: DOI
Bosser, Vincent; Galateau, Aurélien Lower bounds for the canonical height on Drinfeld modules. (English) Zbl 1444.11123 Int. Math. Res. Not. 2019, No. 1, 165-200 (2019). MSC: 11G09 11G50 PDF BibTeX XML Cite \textit{V. Bosser} and \textit{A. Galateau}, Int. Math. Res. Not. 2019, No. 1, 165--200 (2019; Zbl 1444.11123) 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 PDF BibTeX XML Cite \textit{J. Mello}, J. Number Theory 205, 321--339 (2019; Zbl 1436.37102) Full Text: DOI arXiv
Plessis, Arnaud Lower bound for the Weil height in a compositum of ray fields. (Minoration de la hauteur de Weil dans un compositum de corps de rayon.) (French. English summary) Zbl 1448.11121 J. Number Theory 205, 246-276 (2019). MSC: 11G50 11R20 PDF BibTeX XML Cite \textit{A. Plessis}, J. Number Theory 205, 246--276 (2019; Zbl 1448.11121) Full Text: DOI
Barroero, Fabrizio CM relations in fibered powers of elliptic families. (English) Zbl 07101848 J. Inst. Math. Jussieu 18, No. 5, 941-956 (2019); corrigendum ibid 19, No. 3, 1029 (2020). Reviewer: Riccardo Pengo (Lyon) MSC: 11G05 11G15 11G50 11U09 PDF BibTeX XML Cite \textit{F. Barroero}, J. Inst. Math. Jussieu 18, No. 5, 941--956 (2019; Zbl 07101848) Full Text: DOI arXiv
Hindes, Wade Finite orbit points for sets of quadratic polynomials. (English) Zbl 1435.37110 Int. J. Number Theory 15, No. 8, 1693-1719 (2019). Reviewer: Roberto Dvornicich (Pisa) MSC: 37P55 11G50 37P05 37P35 37P30 PDF BibTeX XML Cite \textit{W. Hindes}, Int. J. Number Theory 15, No. 8, 1693--1719 (2019; Zbl 1435.37110) Full Text: DOI arXiv
Balakrishnan, Jennifer; Dogra, Netan; Müller, J. Steffen; Tuitman, Jan; Vonk, Jan Explicit Chabauty-Kim for the split Cartan modular curve of level 13. (English) Zbl 07097493 Ann. Math. (2) 189, No. 3, 885-944 (2019). MSC: 14G05 11Y50 11G50 11G18 PDF BibTeX XML Cite \textit{J. Balakrishnan} et al., Ann. Math. (2) 189, No. 3, 885--944 (2019; Zbl 07097493) Full Text: DOI
Huang, Zhizhong Diophantine approximation and local distribution on a toric surface. (Approximation diophantienne et distribution locale sur une surface torique.) (French. English summary) Zbl 07087794 Acta Arith. 189, No. 1, 1-94 (2019). MSC: 11G50 11K60 14M25 PDF BibTeX XML Cite \textit{Z. Huang}, Acta Arith. 189, No. 1, 1--94 (2019; Zbl 07087794) Full Text: DOI
Hubschmid, Patrik; Viada, Evelina An addendum to the elliptic torsion anomalous conjecture in codimension 2. (English) Zbl 07083132 Rend. Semin. Mat. Univ. Padova 141, 209-220 (2019). MSC: 11G50 14G40 PDF BibTeX XML Cite \textit{P. Hubschmid} and \textit{E. Viada}, Rend. Semin. Mat. Univ. Padova 141, 209--220 (2019; Zbl 07083132) Full Text: DOI
Keller, Timo On an analogue of the conjecture of Birch and Swinnerton-Dyer for abelian schemes over higher dimensional bases over finite fields. (English) Zbl 1443.11126 Doc. Math. 24, 915-993 (2019). Reviewer: Remke Kloosterman (Padova) MSC: 11G40 11G50 19F27 11G10 14F20 14K15 PDF BibTeX XML Cite \textit{T. Keller}, Doc. Math. 24, 915--993 (2019; Zbl 1443.11126) Full Text: DOI arXiv
Zhao, Zhengjun; Ji, Qingzhong Zsigmondy theorem for arithmetic dynamics induced by a Drinfeld module. (English) Zbl 1443.11130 Int. J. Number Theory 15, No. 6, 1111-1125 (2019). MSC: 11G50 11G09 37F10 PDF BibTeX XML Cite \textit{Z. Zhao} and \textit{Q. Ji}, Int. J. Number Theory 15, No. 6, 1111--1125 (2019; Zbl 1443.11130) Full Text: DOI
Hindes, Wade The average number of integral points in orbits. (English) Zbl 07075299 Math. Res. Lett. 26, No. 1, 101-120 (2019). MSC: 11G50 37P15 14G05 PDF BibTeX XML Cite \textit{W. Hindes}, Math. Res. Lett. 26, No. 1, 101--120 (2019; Zbl 07075299) Full Text: DOI arXiv
Mossinghoff, Michael J.; Pigno, Vincent; Pinner, Christopher The Lind-Lehmer constant for \(\mathbb{Z}_2^r\times\mathbb{Z}_4^s\). (English) Zbl 07063272 Mosc. J. Comb. Number Theory 8, No. 2, 151-162 (2019). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R06 11B83 11G50 11R09 11T22 43A40 PDF BibTeX XML Cite \textit{M. J. Mossinghoff} et al., Mosc. J. Comb. Number Theory 8, No. 2, 151--162 (2019; Zbl 07063272) Full Text: DOI Euclid
Petsche, Clayton; Stacy, Emerald A dynamical construction of small totally \(p\)-adic algebraic numbers. (English) Zbl 07063088 J. Number Theory 202, 27-36 (2019). MSC: 11G50 37P05 37P30 37P50 PDF BibTeX XML Cite \textit{C. Petsche} and \textit{E. Stacy}, J. Number Theory 202, 27--36 (2019; Zbl 07063088) Full Text: DOI arXiv
Looper, Nicole A lower bound on the canonical height for polynomials. (English) Zbl 07062593 Math. Ann. 373, No. 3-4, 1057-1074 (2019). MSC: 11G50 37P30 37P45 37P15 PDF BibTeX XML Cite \textit{N. Looper}, Math. Ann. 373, No. 3--4, 1057--1074 (2019; Zbl 07062593) Full Text: DOI arXiv
Browning, T. D.; Sofos, E. Counting rational points on quartic del Pezzo surfaces with a rational conic. (English) Zbl 07062591 Math. Ann. 373, No. 3-4, 977-1016 (2019). MSC: 11G35 11G50 14G05 PDF BibTeX XML Cite \textit{T. D. Browning} and \textit{E. Sofos}, Math. Ann. 373, No. 3--4, 977--1016 (2019; Zbl 07062591) Full Text: DOI
Browning, T. D.; Hu, L. Q. Counting rational points on biquadratic hypersurfaces. (English) Zbl 1435.11066 Adv. Math. 349, 920-940 (2019). Reviewer: Damaris Schindler (Göttingen) MSC: 11D45 11G35 11G50 11P55 14G25 PDF BibTeX XML Cite \textit{T. D. Browning} and \textit{L. Q. Hu}, Adv. Math. 349, 920--940 (2019; Zbl 1435.11066) Full Text: DOI arXiv
Burgos Gil, José Ignacio; Philippon, Patrice; Rivera-Letelier, Juan; Sombra, Martín The distribution of Galois orbits of points of small height in toric varieties. (English) Zbl 07057015 Am. J. Math. 141, No. 2, 309-381 (2019). MSC: 14G40 11G50 11G35 14M25 PDF BibTeX XML Cite \textit{J. I. Burgos Gil} et al., Am. J. Math. 141, No. 2, 309--381 (2019; Zbl 07057015) Full Text: DOI arXiv
Healey, Vivian Olsiewski; Hindes, Wade Stochastic canonical heights. (English) Zbl 1444.37095 J. Number Theory 201, 228-256 (2019). MSC: 37P15 11G50 14G05 PDF BibTeX XML Cite \textit{V. O. Healey} and \textit{W. Hindes}, J. Number Theory 201, 228--256 (2019; Zbl 1444.37095) Full Text: DOI arXiv
Chan, Wai Kiu; Fukshansky, Lenny Small representations of integers by integral quadratic forms. (English) Zbl 07055451 J. Number Theory 201, 40-52 (2019). Reviewer: Steven T. Dougherty (Scranton) MSC: 11E12 11G50 11E39 PDF BibTeX XML Cite \textit{W. K. Chan} and \textit{L. Fukshansky}, J. Number Theory 201, 40--52 (2019; Zbl 07055451) Full Text: DOI arXiv
Bridy, Andrew; Tucker, Thomas J. Finite index theorems for iterated Galois groups of cubic polynomials. (English) Zbl 07051737 Math. Ann. 373, No. 1-2, 37-72 (2019). MSC: 37P15 11G50 11R32 14G25 37P05 37P30 PDF BibTeX XML Cite \textit{A. Bridy} and \textit{T. J. Tucker}, Math. Ann. 373, No. 1--2, 37--72 (2019; Zbl 07051737) Full Text: DOI arXiv
Schmidt, Harry Relative Manin-Mumford in additive extensions. (English) Zbl 07050819 Trans. Am. Math. Soc. 371, No. 9, 6463-6486 (2019). MSC: 11G50 14H05 14H52 14L15 33C05 14J99 PDF BibTeX XML Cite \textit{H. Schmidt}, Trans. Am. Math. Soc. 371, No. 9, 6463--6486 (2019; Zbl 07050819) Full Text: DOI
Gao, Ziyang; Habegger, Philipp Heights in families of abelian varieties and the geometric Bogomolov conjecture. (English) Zbl 1432.11060 Ann. Math. (2) 189, No. 2, 527-604 (2019). Reviewer: Jin-Xing Cai (Beijing) MSC: 11G10 11G50 14G25 14K15 PDF BibTeX XML Cite \textit{Z. Gao} and \textit{P. Habegger}, Ann. Math. (2) 189, No. 2, 527--604 (2019; Zbl 1432.11060) Full Text: Link arXiv
Pazuki, Fabien Modular invariants and isogenies. (English) Zbl 1446.11126 Int. J. Number Theory 15, No. 3, 569-584 (2019). Reviewer: Nathan Grieve (Ottawa) MSC: 11G50 11G05 14G40 14J15 14K02 PDF BibTeX XML Cite \textit{F. Pazuki}, Int. J. Number Theory 15, No. 3, 569--584 (2019; Zbl 1446.11126) Full Text: DOI arXiv
Xue, Hang Arithmetic theta lifts and the arithmetic Gan-Gross-Prasad conjecture for unitary groups. (English) Zbl 1446.11117 Duke Math. J. 168, No. 1, 127-185 (2019). Reviewer: Martin Raum (Gothenburg) MSC: 11G18 11F70 11G50 PDF BibTeX XML Cite \textit{H. Xue}, Duke Math. J. 168, No. 1, 127--185 (2019; Zbl 1446.11117) Full Text: DOI Euclid
Burgos Gil, José Ignacio; Goswami, Souvik Higher arithmetic intersection theory. (English) Zbl 1439.14032 Adv. Math. 346, 569-664 (2019). Reviewer: Ana María Botero (Regensburg) MSC: 14C17 14C25 14C30 14C35 11G50 PDF BibTeX XML Cite \textit{J. I. Burgos Gil} and \textit{S. Goswami}, Adv. Math. 346, 569--664 (2019; Zbl 1439.14032) Full Text: DOI arXiv
Sha, Min Effective results on the Skolem problem for linear recurrence sequences. (English) Zbl 06994680 J. Number Theory 197, 228-249 (2019). Reviewer: Artūras Dubickas (Vilnius) MSC: 11B37 11C08 11G50 11J86 PDF BibTeX XML Cite \textit{M. Sha}, J. Number Theory 197, 228--249 (2019; Zbl 06994680) Full Text: DOI arXiv
Habegger, Philipp; Ih, Su-ion Distribution of integral division points on the algebraic torus. (English) Zbl 1416.11113 Trans. Am. Math. Soc. 371, No. 1, 357-386 (2019). Reviewer: Michel Waldschmidt (Paris) MSC: 11G50 11J61 11J71 11J86 11L15 14G25 14G40 20G30 37P05 37P35 PDF BibTeX XML Cite \textit{P. Habegger} and \textit{S.-i. Ih}, Trans. Am. Math. Soc. 371, No. 1, 357--386 (2019; Zbl 1416.11113) Full Text: DOI
de Jong, Robin On the height of Gross-Schoen cycles in genus three. (English) Zbl 1444.11145 Res. Number Theory 4, No. 4, Paper No. 38, 25 p. (2018). MSC: 11G50 14G40 14H25 PDF BibTeX XML Cite \textit{R. de Jong}, Res. Number Theory 4, No. 4, Paper No. 38, 25 p. (2018; Zbl 1444.11145) Full Text: DOI
Frei, Christopher; Widmer, Martin Average bounds for the \(\ell\)-torsion in class groups of cyclic extensions. (English) Zbl 1444.11217 Res. Number Theory 4, No. 3, Paper No. 34, 25 p. (2018). MSC: 11R29 11N36 11R45 11G50 PDF BibTeX XML Cite \textit{C. Frei} and \textit{M. Widmer}, Res. Number Theory 4, No. 3, Paper No. 34, 25 p. (2018; Zbl 1444.11217) Full Text: DOI arXiv
Koleda, D. V. On the distribution of real algebraic numbers of equal height. (Russian. English summary) Zbl 1429.11186 Dal’nevost. Mat. Zh. 18, No. 1, 56-70 (2018). Reviewer: Artūras Dubickas (Vilnius) MSC: 11N45 11R04 11J83 11G50 PDF BibTeX XML Cite \textit{D. V. Koleda}, Dal'nevost. Mat. Zh. 18, No. 1, 56--70 (2018; Zbl 1429.11186) Full Text: MNR
Hutz, Benjamin Good reduction and canonical heights of subvarieties. (English) Zbl 1421.37037 Math. Res. Lett. 25, No. 6, 1837-1863 (2018). MSC: 37P30 37P55 37P35 14G40 11G50 PDF BibTeX XML Cite \textit{B. Hutz}, Math. Res. Lett. 25, No. 6, 1837--1863 (2018; Zbl 1421.37037) Full Text: DOI arXiv
Grieve, Nathan On arithmetic general theorems for polarized varieties. (English) Zbl 07066349 Houston J. Math. 44, No. 4, 1181-1203 (2018). MSC: 14G05 14G40 11G50 11J97 14C20 PDF BibTeX XML Cite \textit{N. Grieve}, Houston J. Math. 44, No. 4, 1181--1203 (2018; Zbl 07066349) Full Text: arXiv
Seyyedi, Seyyede Masoome; Rahmati, Farhad Regularity and projective dimension of the edge ideal of a generalized theta graph. (English) Zbl 1424.11098 Turk. J. Math. 42, No. 1, 320-338 (2018). MSC: 11G50 13D02 PDF BibTeX XML Cite \textit{S. M. Seyyedi} and \textit{F. Rahmati}, Turk. J. Math. 42, No. 1, 320--338 (2018; Zbl 1424.11098) Full Text: DOI
Gualdi, Roberto Heights of hypersurfaces in toric varieties. (English) Zbl 1410.14042 Algebra Number Theory 12, No. 10, 2403-2443 (2018). Reviewer: Edwin León Cardenal (Zacatecas) MSC: 14M25 11G50 14G40 52A39 PDF BibTeX XML Cite \textit{R. Gualdi}, Algebra Number Theory 12, No. 10, 2403--2443 (2018; Zbl 1410.14042) Full Text: DOI
Ghioca, Dragos; Ye, Hexi A dynamical variant of the André-Oort conjecture. (English) Zbl 1442.37119 Int. Math. Res. Not. 2018, No. 8, 2447-2480 (2018). MSC: 37P05 37P45 37P15 11G50 37P30 PDF BibTeX XML Cite \textit{D. Ghioca} and \textit{H. Ye}, Int. Math. Res. Not. 2018, No. 8, 2447--2480 (2018; Zbl 1442.37119) Full Text: DOI
Fujita, Yasutsugu; Nara, Tadahisa The Mordell-Weil bases for the elliptic curve of the form \(y^2 = x^3-m^2x + n^2\). (English) Zbl 1413.11081 Publ. Math. 92, No. 1-2, 79-99 (2018). MSC: 11G05 11D59 11G50 PDF BibTeX XML Cite \textit{Y. Fujita} and \textit{T. Nara}, Publ. Math. 92, No. 1--2, 79--99 (2018; Zbl 1413.11081) Full Text: DOI
Talamanca, Valerio Heights and representations of split tori. (English. French summary) Zbl 1446.11127 J. Théor. Nombres Bordx. 30, No. 1, 41-57 (2018). MSC: 11G50 20G30 PDF BibTeX XML Cite \textit{V. Talamanca}, J. Théor. Nombres Bordx. 30, No. 1, 41--57 (2018; Zbl 1446.11127) Full Text: DOI
Akhtari, Shabnam; Aktaş, Kevser; Biggs, Kirsti D.; Hamieh, Alia; Petersen, Kathleen; Thompson, Lola Lower bounds for heights in relative Galois extensions. (English) Zbl 1443.11128 Bouw, Irene I. (ed.) et al., Women in numbers Europe II. Contributions to number theory and arithmetic geometry, Leiden, The Netherlands, September 26–30, 2016. Cham: Springer. Assoc. Women Math. Ser. 11, 1-17 (2018). MSC: 11G50 PDF BibTeX XML Cite \textit{S. Akhtari} et al., Assoc. Women Math. Ser. 11, 1--17 (2018; Zbl 1443.11128) Full Text: DOI
Viada, Evelina An explicit Manin-Dem’janenko theorem in elliptic curves. (English) Zbl 1443.11129 Can. J. Math. 70, No. 5, 1173-1200 (2018). MSC: 11G50 14G40 PDF BibTeX XML Cite \textit{E. Viada}, Can. J. Math. 70, No. 5, 1173--1200 (2018; Zbl 1443.11129) Full Text: DOI arXiv
Lee, Chong Gyu Height inequality for rational maps and bounds for preperiodic points. (English) Zbl 06982144 Bull. Korean Math. Soc. 55, No. 5, 1317-1332 (2018). MSC: 11G50 37P30 14G50 32H50 37P05 PDF BibTeX XML Cite \textit{C. G. Lee}, Bull. Korean Math. Soc. 55, No. 5, 1317--1332 (2018; Zbl 06982144) Full Text: Link
Ghioca, Dragos; Nguyen, Khoa A dynamical variant of the Pink-Zilber conjecture. (English) Zbl 1444.11146 Algebra Number Theory 12, No. 7, 1749-1771 (2018). MSC: 11G50 11G35 14G25 37P15 PDF BibTeX XML Cite \textit{D. Ghioca} and \textit{K. Nguyen}, Algebra Number Theory 12, No. 7, 1749--1771 (2018; Zbl 1444.11146) Full Text: DOI
Matsuzawa, Yohsuke; Sano, Kaoru; Shibata, Takahiro Arithmetic degrees and dynamical degrees of endomorphisms on surfaces. (English) Zbl 1423.14163 Algebra Number Theory 12, No. 7, 1635-1657 (2018). MSC: 14G05 11G35 11G50 37P05 37P15 37P30 14E05 PDF BibTeX XML Cite \textit{Y. Matsuzawa} et al., Algebra Number Theory 12, No. 7, 1635--1657 (2018; Zbl 1423.14163) Full Text: DOI arXiv
Pottmeyer, Lukas Small totally \(p\)-adic algebraic numbers. (English) Zbl 1441.11174 Int. J. Number Theory 14, No. 10, 2687-2697 (2018). MSC: 11G50 11R09 PDF BibTeX XML Cite \textit{L. Pottmeyer}, Int. J. Number Theory 14, No. 10, 2687--2697 (2018; Zbl 1441.11174) Full Text: DOI arXiv
Sano, Kaoru Growth rate of ample heights and the dynamical Mordell-Lang conjecture. (English) Zbl 1423.37072 Int. J. Number Theory 14, No. 10, 2673-2685 (2018). Reviewer: David McKinnon (Waterloo) MSC: 37P30 37P55 11G50 PDF BibTeX XML Cite \textit{K. Sano}, Int. J. Number Theory 14, No. 10, 2673--2685 (2018; Zbl 1423.37072) Full Text: DOI
Wen, Hao; Liu, Chunhui Counting multiplicities in a hypersurface over number fields. (English) Zbl 06950260 Algebra Colloq. 25, No. 3, 437-458 (2018). Reviewer: Riccardo Pengo (Lyon) MSC: 11D45 11G50 14G05 14J17 14C17 PDF BibTeX XML Cite \textit{H. Wen} and \textit{C. Liu}, Algebra Colloq. 25, No. 3, 437--458 (2018; Zbl 06950260) Full Text: DOI
Ostafe, Alina; Sha, Min; Shparlinski, Igor E.; Zannier, Umberto On abelian multiplicatively dependent points on a curve in a torus. (English) Zbl 1440.11101 Q. J. Math. 69, No. 2, 391-401 (2018). MSC: 11G15 11G50 14G25 14J20 PDF BibTeX XML Cite \textit{A. Ostafe} et al., Q. J. Math. 69, No. 2, 391--401 (2018; Zbl 1440.11101) Full Text: DOI arXiv