Phillips, Tristan Counting Drinfeld modules with prescribed local conditions. (English) Zbl 07818535 Res. Number Theory 10, No. 1, Paper No. 21, 22 p. (2024). MSC: 11-XX 11G09 11G18 11G50 11D45 14G05 PDFBibTeX XMLCite \textit{T. Phillips}, Res. Number Theory 10, No. 1, Paper No. 21, 22 p. (2024; Zbl 07818535) Full Text: DOI arXiv
Bot, Anna The ordinal of dynamical degrees of birational maps of the projective plane. (L’ordinal des degrés dynamiques des transformations birationelles du plan projectif.) (English. French summary) Zbl 07816884 C. R., Math., Acad. Sci. Paris 362, 117-134 (2024). MSC: 37F10 32H50 14E07 14E05 PDFBibTeX XMLCite \textit{A. Bot}, C. R., Math., Acad. Sci. Paris 362, 117--134 (2024; Zbl 07816884) Full Text: DOI arXiv
Glazyrin, Alexey; Karasev, Roman; Polyanskii, Alexander Extensions of polynomial plank covering theorems. (English) Zbl 07815314 Bull. Lond. Math. Soc. 56, No. 3, 1014-1028 (2024). MSC: 46B20 46C05 52C99 52C17 52C35 32A08 51M16 90C23 PDFBibTeX XMLCite \textit{A. Glazyrin} et al., Bull. Lond. Math. Soc. 56, No. 3, 1014--1028 (2024; Zbl 07815314) Full Text: DOI arXiv
Wilsch, Florian Integral points of bounded height on a certain toric variety. (English) Zbl 07814403 Trans. Am. Math. Soc., Ser. B 11, 567-599 (2024). MSC: 11D45 11G35 14G05 PDFBibTeX XMLCite \textit{F. Wilsch}, Trans. Am. Math. Soc., Ser. B 11, 567--599 (2024; Zbl 07814403) Full Text: DOI arXiv
Scherr, Zachary; Thompson, Katherine Quartic integral polynomial Pell equations. (English) Zbl 07813859 J. Number Theory 259, 38-56 (2024). MSC: 11D09 14G05 11A55 11D25 PDFBibTeX XMLCite \textit{Z. Scherr} and \textit{K. Thompson}, J. Number Theory 259, 38--56 (2024; Zbl 07813859) Full Text: DOI arXiv
Alessandrì, Jessica; Chirivì, Rocco; Paladino, Laura Local-global divisibility on algebraic tori. (English) Zbl 07813491 Bull. Lond. Math. Soc. 56, No. 2, 803-816 (2024). MSC: 11E72 11G35 14G05 PDFBibTeX XMLCite \textit{J. Alessandrì} et al., Bull. Lond. Math. Soc. 56, No. 2, 803--816 (2024; Zbl 07813491) Full Text: DOI arXiv OA License
Ma, Qixiao Rational points on generic marked hypersurfaces. (English) Zbl 07812269 Math. Z. 306, No. 3, Paper No. 49, 8 p. (2024). MSC: 14G05 14J70 14G27 14M20 PDFBibTeX XMLCite \textit{Q. Ma}, Math. Z. 306, No. 3, Paper No. 49, 8 p. (2024; Zbl 07812269) Full Text: DOI arXiv
Pieropan, Marta; Schindler, Damaris Hyperbola method on toric varieties. (Méthode de l’hyperbole sur les variétés toriques.) (English. French summary) Zbl 07811890 J. Éc. Polytech., Math. 11, 107-157 (2024). MSC: 11P21 11A25 11G50 14G05 14M25 PDFBibTeX XMLCite \textit{M. Pieropan} and \textit{D. Schindler}, J. Éc. Polytech., Math. 11, 107--157 (2024; Zbl 07811890) Full Text: DOI arXiv
Izquierdo, Diego; Lucchini Arteche, Giancarlo On Kato and Kuzumaki’s properties for the Milnor \(K_2\) of function fields of \(p\)-adic curves. (English) Zbl 07810351 Algebra Number Theory 18, No. 4, 815-846 (2024). MSC: 11-XX 11E76 12G05 14G27 14J70 19C99 11G20 12G10 14G05 14J45 19F05 PDFBibTeX XMLCite \textit{D. Izquierdo} and \textit{G. Lucchini Arteche}, Algebra Number Theory 18, No. 4, 815--846 (2024; Zbl 07810351) Full Text: DOI arXiv
Harpaz, Yonatan; Wittenberg, Olivier Supersolvable descent for rational points. (English) Zbl 07810350 Algebra Number Theory 18, No. 4, 787-814 (2024). MSC: 11-XX 11G35 14G05 14G12 12F12 PDFBibTeX XMLCite \textit{Y. Harpaz} and \textit{O. Wittenberg}, Algebra Number Theory 18, No. 4, 787--814 (2024; Zbl 07810350) Full Text: DOI arXiv
Best, Alex J.; Betts, L. Alexander; Kumpitsch, Theresa; Lüdtke, Martin; McAndrew, Angus W.; Qian, Lie; Studnia, Elie; Xu, Yujie Refined Selmer equations for the thrice-punctured line in depth two. (English) Zbl 07810341 Math. Comput. 93, No. 347, 1497-1527 (2024). MSC: 14G05 11G55 11Y50 PDFBibTeX XMLCite \textit{A. J. Best} et al., Math. Comput. 93, No. 347, 1497--1527 (2024; Zbl 07810341) Full Text: DOI arXiv
Adžaga, Nikola; Keller, Timo; Michaud-Jacobs, Philippe; Najman, Filip; Ozman, Ekin; Vukorepa, Borna Computing quadratic points on modular curves \(X_0(N)\). (English) Zbl 07810337 Math. Comput. 93, No. 347, 1371-1397 (2024). MSC: 11G05 14G05 11G18 PDFBibTeX XMLCite \textit{N. Adžaga} et al., Math. Comput. 93, No. 347, 1371--1397 (2024; Zbl 07810337) Full Text: DOI arXiv
Swaminathan, Ashvin A. Most odd-degree binary forms fail to primitively represent a square. (English) Zbl 07810322 Compos. Math. 160, No. 3, 481-517 (2024). MSC: 11D45 14G05 20G25 14H25 PDFBibTeX XMLCite \textit{A. A. Swaminathan}, Compos. Math. 160, No. 3, 481--517 (2024; Zbl 07810322) Full Text: DOI
Noytaptim, Chatchai Preperiodic points with local rationality conditions in the quadratic unicritical family. (English) Zbl 07810301 Acta Arith. 212, No. 2, 99-113 (2024). MSC: 11R80 37P05 PDFBibTeX XMLCite \textit{C. Noytaptim}, Acta Arith. 212, No. 2, 99--113 (2024; Zbl 07810301) Full Text: DOI arXiv
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
Linh, Nguyen Manh Arithmetics of homogeneous spaces over \(p\)-adic function fields. (English) Zbl 07809015 J. Lond. Math. Soc., II. Ser. 109, No. 1, Article ID e12842, 56 p. (2024). MSC: 14G05 14G12 11E72 PDFBibTeX XMLCite \textit{N. M. Linh}, J. Lond. Math. Soc., II. Ser. 109, No. 1, Article ID e12842, 56 p. (2024; Zbl 07809015) Full Text: DOI arXiv OA License
Uppal, H. Integral points on symmetric affine cubic surfaces. (English) Zbl 07807440 Manuscr. Math. 173, No. 3-4, 1305-1331 (2024). MSC: 14G12 11D25 14G05 14F22 PDFBibTeX XMLCite \textit{H. Uppal}, Manuscr. Math. 173, No. 3--4, 1305--1331 (2024; Zbl 07807440) Full Text: DOI arXiv OA License
Nguyễn, Mạnh Linh On the homogeneous spaces of Borovoi-Kunyavskii. (Sur les espaces homogènes de Borovoi-Kunyavskii.) (French. English summary) Zbl 07805422 Algebra Number Theory 18, No. 2, 349-387 (2024). MSC: 11-XX 11R34 14G05 14G12 PDFBibTeX XMLCite \textit{M. L. Nguyễn}, Algebra Number Theory 18, No. 2, 349--387 (2024; Zbl 07805422) Full Text: DOI
Brunebarbe, Yohan; Maculan, Marco Counting integral points of bounded height on varieties with large fundamental group. (English) Zbl 07803085 J. Reine Angew. Math. 807, 31-53 (2024). MSC: 14G05 14C30 14G40 14F35 14K15 11G50 PDFBibTeX XMLCite \textit{Y. Brunebarbe} and \textit{M. Maculan}, J. Reine Angew. Math. 807, 31--53 (2024; Zbl 07803085) Full Text: DOI arXiv
Michaud-Jacobs, Philippe Computing points on bielliptic modular curves over fixed quadratic fields. (English) Zbl 07802955 Bull. Aust. Math. Soc. 109, No. 1, 6-13 (2024). MSC: 11G18 11G05 14G05 PDFBibTeX XMLCite \textit{P. Michaud-Jacobs}, Bull. Aust. Math. Soc. 109, No. 1, 6--13 (2024; Zbl 07802955) Full Text: DOI arXiv OA License
Iezzi, Annamaria; Kawakita, Motoko Qiu; Timpanella, Marco New sextics of genus 6 and 10 attaining the Serre bound. (English) Zbl 07802635 Adv. Geom. 24, No. 1, 99-109 (2024). MSC: 11G20 14G05 14G50 PDFBibTeX XMLCite \textit{A. Iezzi} et al., Adv. Geom. 24, No. 1, 99--109 (2024; Zbl 07802635) Full Text: DOI arXiv
Rousseau, Erwan; Turchet, Amos; Wang, Julie Tzu-Yueh Divisibility of polynomials and degeneracy of integral points. (English) Zbl 07802411 Math. Ann. 388, No. 2, 1969-1999 (2024). MSC: 11J87 11J97 14G05 32A22 PDFBibTeX XMLCite \textit{E. Rousseau} et al., Math. Ann. 388, No. 2, 1969--1999 (2024; Zbl 07802411) Full Text: DOI arXiv OA License
Barroero, Fabrizio; Capuano, Laura; Turchet, Amos Greatest common divisor results on semiabelian varieties and a conjecture of Silverman. (English) Zbl 07801558 Res. Number Theory 10, No. 1, Paper No. 17, 16 p. (2024). MSC: 11G10 14K15 14G05 PDFBibTeX XMLCite \textit{F. Barroero} et al., Res. Number Theory 10, No. 1, Paper No. 17, 16 p. (2024; Zbl 07801558) Full Text: DOI arXiv OA License
Javanpeykar, Ariyan; Loughran, Daniel; Mathur, Siddharth Good reduction and cyclic covers. (English) Zbl 07801292 J. Inst. Math. Jussieu 23, No. 1, 463-494 (2024). MSC: 14G05 11G35 14D23 PDFBibTeX XMLCite \textit{A. Javanpeykar} et al., J. Inst. Math. Jussieu 23, No. 1, 463--494 (2024; Zbl 07801292) Full Text: DOI arXiv OA License
Blomer, Valentin; Brüdern, Jörg; Derenthal, Ulrich; Gagliardi, Giuliano The Manin-peyre conjecture for smooth spherical Fano varieties of semisimple rank one. (English) Zbl 07801001 Forum Math. Sigma 12, Paper No. e11, 93 p. (2024). MSC: 14G05 11D45 14M27 11G35 PDFBibTeX XMLCite \textit{V. Blomer} et al., Forum Math. Sigma 12, Paper No. e11, 93 p. (2024; Zbl 07801001) Full Text: DOI arXiv OA License
Wu, Han There are genus one curves violating Hasse principle over every number field. (English) Zbl 07799749 J. Algebra 643, 76-85 (2024). MSC: 14H45 11G05 11D09 14G05 PDFBibTeX XMLCite \textit{H. Wu}, J. Algebra 643, 76--85 (2024; Zbl 07799749) Full Text: DOI
Sarr, Pape Modou; Sow, El Hadji; Fall, Moussa Algebraic points of any degree on the affine curve \(\mathcal{C}:y^2=x^5-243\). (English) Zbl 07798117 J. Contemp. Appl. Math. 14, No. 1, 46-53 (2024). MSC: 14H50 14H40 11D68 12F05 PDFBibTeX XMLCite \textit{P. M. Sarr} et al., J. Contemp. Appl. Math. 14, No. 1, 46--53 (2024; Zbl 07798117) Full Text: DOI
Bell, Jason P.; Diller, Jeffrey; Jonsson, Mattias; Krieger, Holly Birational maps with transcendental dynamical degree. (English) Zbl 07796311 Proc. Lond. Math. Soc. (3) 128, No. 1, Article ID e12573, 47 p. (2024). MSC: 32H50 37F10 PDFBibTeX XMLCite \textit{J. P. Bell} et al., Proc. Lond. Math. Soc. (3) 128, No. 1, Article ID e12573, 47 p. (2024; Zbl 07796311) Full Text: DOI arXiv OA License
Doyle, John R.; Faber, Xander New families satisfying the dynamical uniform boundedness principle over function fields. (English) Zbl 07796288 Math. Ann. 388, No. 1, 985-1000 (2024). MSC: 37P05 37P35 11R09 11G30 PDFBibTeX XMLCite \textit{J. R. Doyle} and \textit{X. Faber}, Math. Ann. 388, No. 1, 985--1000 (2024; Zbl 07796288) Full Text: DOI arXiv
Juul, Jamie Backward orbits of critical points. (English) Zbl 07794603 J. Number Theory 256, 23-36 (2024). MSC: 37P05 37P15 37P20 11R32 14G25 PDFBibTeX XMLCite \textit{J. Juul}, J. Number Theory 256, 23--36 (2024; Zbl 07794603) Full Text: DOI arXiv
Chen, Sheng Arithmetic purity of strong approximation for complete toric varieties. (English) Zbl 07794037 Math. Z. 306, No. 2, Paper No. 23, 19 p. (2024). MSC: 11G35 14G05 PDFBibTeX XMLCite \textit{S. Chen}, Math. Z. 306, No. 2, Paper No. 23, 19 p. (2024; Zbl 07794037) Full Text: DOI arXiv
DeMarco, Laura; Mavraki, Niki Myrto Dynamics on \(\mathbb{P}^1\): preperiodic points and pairwise stability. (English) Zbl 07793888 Compos. Math. 160, No. 2, 356-387 (2024). MSC: 37P35 37P05 37P30 14H52 PDFBibTeX XMLCite \textit{L. DeMarco} and \textit{N. M. Mavraki}, Compos. Math. 160, No. 2, 356--387 (2024; Zbl 07793888) Full Text: DOI arXiv
Bresciani, Giulio On the birational section conjecture with strong birationality assumptions. (English) Zbl 07790943 Invent. Math. 235, No. 1, 129-150 (2024). MSC: 11G30 14H25 14H30 14G05 14F35 PDFBibTeX XMLCite \textit{G. Bresciani}, Invent. Math. 235, No. 1, 129--150 (2024; Zbl 07790943) Full Text: DOI arXiv OA License
Sow, El Hadji; Fall, Moussa; Sall, Oumar Algebraic points on the genus 2 curve \(\mathcal{C}:y^2=5(1-x^5)\). (English) Zbl 07790162 J. Contemp. Appl. Math. 14, No. 1, 28-32 (2024). MSC: 14H50 14H40 11D68 PDFBibTeX XMLCite \textit{E. H. Sow} et al., J. Contemp. Appl. Math. 14, No. 1, 28--32 (2024; Zbl 07790162)
Ghioca, Dragos Collision of orbits for a one-parameter family of Drinfeld modules. (English) Zbl 07786329 J. Number Theory 257, 320-340 (2024). MSC: 37P05 37P35 PDFBibTeX XMLCite \textit{D. Ghioca}, J. Number Theory 257, 320--340 (2024; Zbl 07786329) Full Text: DOI
Long, Hanqing; Wei, Dasheng The 3-rd unramified cohomology for norm one torus. (English) Zbl 07786323 J. Number Theory 257, 186-201 (2024). MSC: 14F20 14G05 14M20 11E72 PDFBibTeX XMLCite \textit{H. Long} and \textit{D. Wei}, J. Number Theory 257, 186--201 (2024; Zbl 07786323) Full Text: DOI arXiv
Colliot-Thélène, Jean-Louis About arithmetic of intersections of two quadrics. (Retour sur l’arithmétique des intersections de deux quadriques.) (French. English summary) Zbl 07785470 J. Reine Angew. Math. 806, 147-185 (2024). MSC: 14G05 14M20 14G25 14F05 14J20 14J25 PDFBibTeX XMLCite \textit{J.-L. Colliot-Thélène}, J. Reine Angew. Math. 806, 147--185 (2024; Zbl 07785470) Full Text: DOI arXiv
Javanpeykar, Ariyan; Litt, Daniel Integral points on algebraic subvarieties of period domains: from number fields to finitely generated fields. (English) Zbl 07785286 Manuscr. Math. 173, No. 1-2, 23-44 (2024). MSC: 11G35 14G05 14C30 32Q45 PDFBibTeX XMLCite \textit{A. Javanpeykar} and \textit{D. Litt}, Manuscr. Math. 173, No. 1--2, 23--44 (2024; Zbl 07785286) Full Text: DOI arXiv OA License
Tsushima, Takahiro On cohomology of generalized Suzuki curves and exponential sums. (English) Zbl 07784986 Finite Fields Appl. 93, Article ID 102309, 30 p. (2024). MSC: 11L03 14H37 14F20 11M38 11G20 PDFBibTeX XMLCite \textit{T. Tsushima}, Finite Fields Appl. 93, Article ID 102309, 30 p. (2024; Zbl 07784986) Full Text: DOI
Kudo, Momonari; Harashita, Shushi Representation of non-special curves of genus 5 as plane sextic curves and its application to finding curves with many rational points. (English) Zbl 07783993 J. Symb. Comput. 122, Article ID 102272, 15 p. (2024). MSC: 14G05 14G15 14H10 14H45 14H50 14Q05 68W30 PDFBibTeX XMLCite \textit{M. Kudo} and \textit{S. Harashita}, J. Symb. Comput. 122, Article ID 102272, 15 p. (2024; Zbl 07783993) Full Text: DOI arXiv
Bourdon, Abbey; Gill, David R.; Rouse, Jeremy; Watson, Lori D. Odd degree isolated points on \(X_1(N)\) with rational \(j\)-invariant. (English) Zbl 07783310 Res. Number Theory 10, No. 1, Paper No. 5, 32 p. (2024). MSC: 11G05 14H52 11G18 14G05 PDFBibTeX XMLCite \textit{A. Bourdon} et al., Res. Number Theory 10, No. 1, Paper No. 5, 32 p. (2024; Zbl 07783310) Full Text: DOI arXiv
Watanabe, Tatsunari Non-abelian cohomology of universal curves in positive characteristic. (English) Zbl 1525.14015 Proc. Am. Math. Soc. 152, No. 1, 89-103 (2024). MSC: 14D10 14G05 14H10 PDFBibTeX XMLCite \textit{T. Watanabe}, Proc. Am. Math. Soc. 152, No. 1, 89--103 (2024; Zbl 1525.14015) Full Text: DOI arXiv
Fu, Hang; Stoll, Michael Dynamics of quadratic polynomials and rational points on a curve of genus \(4\). (English) Zbl 07753434 Math. Comput. 93, No. 345, 397-410 (2024). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11G30 11G40 14G05 14G10 14H45 37P05 PDFBibTeX XMLCite \textit{H. Fu} and \textit{M. Stoll}, Math. Comput. 93, No. 345, 397--410 (2024; Zbl 07753434) Full Text: DOI arXiv
Lehmann, Brian; McKinnon, David; Satriano, Matthew Approximating rational points on surfaces. arXiv:2403.02480 Preprint, arXiv:2403.02480 [math.AG] (2024). MSC: 14G05 14E30 BibTeX Cite \textit{B. Lehmann} et al., ``Approximating rational points on surfaces'', Preprint, arXiv:2403.02480 [math.AG] (2024) Full Text: arXiv OA License
Corvaja, Pietro; Turchet, Amos; Zannier, Umberto Rational distances from given rational points in the plane. arXiv:2403.02030 Preprint, arXiv:2403.02030 [math.NT] (2024). MSC: 14G05 14J27 51N35 BibTeX Cite \textit{P. Corvaja} et al., ``Rational distances from given rational points in the plane'', Preprint, arXiv:2403.02030 [math.NT] (2024) Full Text: arXiv OA License
Ghosh, Arkabrata On the family of elliptic curves \(y^2=x^3-m^2x + (pqr)^2\). arXiv:2403.01213 Preprint, arXiv:2403.01213 [math.NT] (2024). MSC: 11G05 14G05 BibTeX Cite \textit{A. Ghosh}, ``On the family of elliptic curves $y^2=x^3-m^2x + (pqr)^2$'', Preprint, arXiv:2403.01213 [math.NT] (2024) Full Text: arXiv OA License
Ghosh, Soham Finiteness of the Arithmetic Casas-Alvero Scheme. arXiv:2402.18717 Preprint, arXiv:2402.18717 [math.AG] (2024). MSC: 12E05 13C15 13N15 14G05 14M10 13N15 BibTeX Cite \textit{S. Ghosh}, ``Finiteness of the Arithmetic Casas-Alvero Scheme'', Preprint, arXiv:2402.18717 [math.AG] (2024) Full Text: arXiv OA License
Hilario, Cesar Turning non-smooth points into rational points. arXiv:2402.14969 Preprint, arXiv:2402.14969 [math.AG] (2024). MSC: 14G05 14G17 14H05 14H45 BibTeX Cite \textit{C. Hilario}, ``Turning non-smooth points into rational points'', Preprint, arXiv:2402.14969 [math.AG] (2024) Full Text: arXiv OA License
Homma, Masaaki; Kim, Seon Jeong Relatives of the Hermitian curve. arXiv:2402.14192 Preprint, arXiv:2402.14192 [math.AG] (2024). MSC: 14G15 14H50 14G05 11G20 BibTeX Cite \textit{M. Homma} and \textit{S. J. Kim}, ``Relatives of the Hermitian curve'', Preprint, arXiv:2402.14192 [math.AG] (2024) Full Text: arXiv OA License
Forstneric, Franc; Larusson, Finnur Oka-1 manifolds: New examples and properties. arXiv:2402.09798 Preprint, arXiv:2402.09798 [math.CV] (2024). MSC: 32E30 32Q56 14H55 14M20 14M22 BibTeX Cite \textit{F. Forstneric} and \textit{F. Larusson}, ``Oka-1 manifolds: New examples and properties'', Preprint, arXiv:2402.09798 [math.CV] (2024) Full Text: arXiv OA License
Creutz, Brendan; Pajwani, Jesse; Voloch, Jose Felipe Galois invariants of finite abelian descent and Brauer sets. arXiv:2402.04441 Preprint, arXiv:2402.04441 [math.NT] (2024). MSC: 11G20 11G30 14G05 14G25 BibTeX Cite \textit{B. Creutz} et al., ``Galois invariants of finite abelian descent and Brauer sets'', Preprint, arXiv:2402.04441 [math.NT] (2024) Full Text: arXiv OA License
Lüdtke, Martin Refined Chabauty–Kim calculations for the thrice-punctured line over \(\mathbb{Z}[1/6]\). arXiv:2402.03573 Preprint, arXiv:2402.03573 [math.NT] (2024). MSC: 14G05 11G55 11Y50 11D88 BibTeX Cite \textit{M. Lüdtke}, ``Refined Chabauty--Kim calculations for the thrice-punctured line over $\mathbb{Z}[1/6]$'', Preprint, arXiv:2402.03573 [math.NT] (2024) Full Text: arXiv OA License
Bianchi, Francesca; Kaya, Enis; Müller, J. Steffen Algorithms for \(p\)-adic Heights on Hyperelliptic Curves of Arbitrary Reduction. arXiv:2402.00169 Preprint, arXiv:2402.00169 [math.NT] (2024). MSC: 14G40 11G50 11S80 14G05 14F30 BibTeX Cite \textit{F. Bianchi} et al., ``Algorithms for $p$-adic Heights on Hyperelliptic Curves of Arbitrary Reduction'', Preprint, arXiv:2402.00169 [math.NT] (2024) Full Text: arXiv OA License
Dittmann, Philip; Fehm, Arno On the existential theory of the completions of a global field. arXiv:2401.11930 Preprint, arXiv:2401.11930 [math.LO] (2024). MSC: 03C60 12L05 12L12 12J20 14G05 11G25 BibTeX Cite \textit{P. Dittmann} and \textit{A. Fehm}, ``On the existential theory of the completions of a global field'', Preprint, arXiv:2401.11930 [math.LO] (2024) Full Text: arXiv OA License
Sugimoto, Yutaro A \(1\)-cohomologically hyperbolic birational map of \(\mathbb{P}^3\), with a transcendental arithmetic degree. arXiv:2401.09821 Preprint, arXiv:2401.09821 [math.AG] (2024). MSC: 14E05 32H50 37F10 BibTeX Cite \textit{Y. Sugimoto}, ``A $1$-cohomologically hyperbolic birational map of $\mathbb{P}^3$, with a transcendental arithmetic degree'', Preprint, arXiv:2401.09821 [math.AG] (2024) Full Text: arXiv OA License
Raha, Manodeep On boundedness of periods of self maps of algebraic varieties. arXiv:2401.05877 Preprint, arXiv:2401.05877 [math.NT] (2024). MSC: 11G35 11G25 37P55 14G05 BibTeX Cite \textit{M. Raha}, ``On boundedness of periods of self maps of algebraic varieties'', Preprint, arXiv:2401.05877 [math.NT] (2024) Full Text: arXiv OA License
Luger, Cedric Products of varieties with many integral points. arXiv:2401.05203 Preprint, arXiv:2401.05203 [math.AG] (2024). MSC: 14G99 14G05 14G40 BibTeX Cite \textit{C. Luger}, ``Products of varieties with many integral points'', Preprint, arXiv:2401.05203 [math.AG] (2024) Full Text: arXiv OA License
Ji, Caleb Effectivity for bounds on points of good reduction in the moduli space of hypersurfaces. arXiv:2401.04981 Preprint, arXiv:2401.04981 [math.AG] (2024). MSC: 14G05 11G35 BibTeX Cite \textit{C. Ji}, ``Effectivity for bounds on points of good reduction in the moduli space of hypersurfaces'', Preprint, arXiv:2401.04981 [math.AG] (2024) Full Text: arXiv OA License
Glas, Jakob; Hochfilzer, Leonhard Rational points on del Pezzo surfaces of low degree. arXiv:2401.04759 Preprint, arXiv:2401.04759 [math.NT] (2024). MSC: 11D45 11G05 11G35 14G05 11H06 BibTeX Cite \textit{J. Glas} and \textit{L. Hochfilzer}, ``Rational points on del Pezzo surfaces of low degree'', Preprint, arXiv:2401.04759 [math.NT] (2024) Full Text: arXiv OA License
González, Jesús; León-Medina, José Luis The rational (non-)formality of the non-3-equal manifolds. arXiv:2401.01449 Preprint, arXiv:2401.01449 [math.AT] (2024). MSC: 55R80 52C35 55S30 55P62 BibTeX Cite \textit{J. González} and \textit{J. L. León-Medina}, ``The rational (non-)formality of the non-3-equal manifolds'', Preprint, arXiv:2401.01449 [math.AT] (2024) Full Text: arXiv OA License
Benkhalifa, Mahmoud Rational cohomology fixed points. (English) Zbl 07815956 Adv. Group Theory Appl. 17, 1-7 (2023). MSC: 55M20 55P62 55P10 PDFBibTeX XMLCite \textit{M. Benkhalifa}, Adv. Group Theory Appl. 17, 1--7 (2023; Zbl 07815956) Full Text: DOI
Nakane, Shizuo On formal normal forms of holomorphic germs at super-saddle fixed points. (English) Zbl 07803529 Complex Anal. Synerg. 9, No. 4, Paper No. 12, 8 p. (2023). MSC: 32H50 37F10 37C29 PDFBibTeX XMLCite \textit{S. Nakane}, Complex Anal. Synerg. 9, No. 4, Paper No. 12, 8 p. (2023; Zbl 07803529) Full Text: DOI
Blokh, Alexander; Oversteegen, Lex; Timorin, Vladlen Immediate renormalization of cubic complex polynomials with empty rational lamination. (English) Zbl 07794632 Mosc. Math. J. 23, No. 4, 441-461 (2023). MSC: 37F20 37C25 37F10 37F50 PDFBibTeX XMLCite \textit{A. Blokh} et al., Mosc. Math. J. 23, No. 4, 441--461 (2023; Zbl 07794632) Full Text: arXiv Link
Duke, William; Schulze-Pillot, Rainer On the analytic theory of isotropic ternary quadratic forms. (English) Zbl 07793422 J. Anal. Math. 151, No. 1, 115-137 (2023). MSC: 11E25 11E45 14G05 11G35 PDFBibTeX XMLCite \textit{W. Duke} and \textit{R. Schulze-Pillot}, J. Anal. Math. 151, No. 1, 115--137 (2023; Zbl 07793422) Full Text: DOI OA License
Sofi, G. M.; Shah, W. M. A note on the structure of the zeros of a polynomial and Sendov’s conjecture. (English) Zbl 07788528 Cubo 25, No. 3, 515-521 (2023). MSC: 30C10 30C15 30A10 PDFBibTeX XMLCite \textit{G. M. Sofi} and \textit{W. M. Shah}, Cubo 25, No. 3, 515--521 (2023; Zbl 07788528) Full Text: DOI
Liang, Yongqi Noninvariance of weak approximation properties under extension of the ground field. (English) Zbl 07787848 Mich. Math. J. 73, No. 4, 675-692 (2023). MSC: 11G35 14G05 14G12 14G25 14J20 PDFBibTeX XMLCite \textit{Y. Liang}, Mich. Math. J. 73, No. 4, 675--692 (2023; Zbl 07787848) Full Text: DOI arXiv
Mello, Jorge On effective \(\epsilon\)-integrality in orbits of rational maps over function fields and multiplicative dependence. (English) Zbl 07786137 Eur. J. Math. 9, No. 4, Paper No. 112, 21 p. (2023). MSC: 37P05 37P15 37P30 PDFBibTeX XMLCite \textit{J. Mello}, Eur. J. Math. 9, No. 4, Paper No. 112, 21 p. (2023; Zbl 07786137) Full Text: DOI arXiv
Matsumoto, Yuya Inseparable maps on \(W_n\)-valued local cohomology groups of nontaut rational double point singularities and the height of K3 surfaces. (English) Zbl 07785074 J. Commut. Algebra 15, No. 3, 377-404 (2023). MSC: 14J28 13A35 14B15 14J17 14L15 14L30 PDFBibTeX XMLCite \textit{Y. Matsumoto}, J. Commut. Algebra 15, No. 3, 377--404 (2023; Zbl 07785074) Full Text: DOI arXiv Link
Wu, Han Arithmetic of Châtelet surfaces under extensions of base fields. (English) Zbl 07784976 Ramanujan J. 62, No. 4, 997-1010 (2023). MSC: 11G35 14G12 14G25 14G05 PDFBibTeX XMLCite \textit{H. Wu}, Ramanujan J. 62, No. 4, 997--1010 (2023; Zbl 07784976) Full Text: DOI arXiv
Mongardi, Giovanni; Pacienza, Gianluca Density of Noether-Lefschetz loci of polarized irreducible holomorphic symplectic varieties and applications. (English) Zbl 07784748 Kyoto J. Math. 63, No. 4, 749-781 (2023). MSC: 14C99 14J28 14J35 14J40 14J42 PDFBibTeX XMLCite \textit{G. Mongardi} and \textit{G. Pacienza}, Kyoto J. Math. 63, No. 4, 749--781 (2023; Zbl 07784748) Full Text: DOI arXiv Link
Komeda, Jiryo; Mase, Makiko Pointed curves on \(K3\) surfaces which are double covers of rational elliptic surfaces. (English) Zbl 07784591 Tsukuba J. Math. 47, No. 1, 65-82 (2023). MSC: 14H55 14H50 14H30 20M14 PDFBibTeX XMLCite \textit{J. Komeda} and \textit{M. Mase}, Tsukuba J. Math. 47, No. 1, 65--82 (2023; Zbl 07784591) Full Text: DOI Link
Novaković, Saša On nonexistence of full exceptional collections on some relative flags. (English) Zbl 07784584 Rocky Mt. J. Math. 53, No. 6, 1953-1964 (2023). MSC: 14F05 14G05 PDFBibTeX XMLCite \textit{S. Novaković}, Rocky Mt. J. Math. 53, No. 6, 1953--1964 (2023; Zbl 07784584) Full Text: DOI arXiv Link
Pérez-Díaz, Sonia; Fernández de Sevilla, Marian; Benedicto, Rafael Magdalena; Shen, Li-Yong Detecting and parametrizing polynomial surfaces without base points. (English) Zbl 07783696 Comput. Aided Geom. Des. 107, Article ID 102255, 15 p. (2023). MSC: 65D17 PDFBibTeX XMLCite \textit{S. Pérez-Díaz} et al., Comput. Aided Geom. Des. 107, Article ID 102255, 15 p. (2023; Zbl 07783696) Full Text: DOI
Jüttler, Bert; Schicho, Josef; Šír, Zbyněk Apollonian de Casteljau-type algorithms for complex rational Bézier curves. (English) Zbl 07783695 Comput. Aided Geom. Des. 107, Article ID 102254, 9 p. (2023). MSC: 65D17 65E10 65E10 PDFBibTeX XMLCite \textit{B. Jüttler} et al., Comput. Aided Geom. Des. 107, Article ID 102254, 9 p. (2023; Zbl 07783695) Full Text: DOI
Cluckers, Raf; Glazer, Itay; Hendel, Yotam I. A number theoretic characterization of \(E\)-smooth and (FRS) morphisms: estimates on the number of \(\mathbb{Z}/p^k\mathbb{Z}\)-points. (English) Zbl 07783177 Algebra Number Theory 17, No. 12, 2229-2260 (2023). MSC: 03C98 11U09 14B05 14E18 11G25 14G05 PDFBibTeX XMLCite \textit{R. Cluckers} et al., Algebra Number Theory 17, No. 12, 2229--2260 (2023; Zbl 07783177) Full Text: DOI arXiv
Carney, Alexander; Hindes, Wade; Tucker, Thomas J. Isotriviality, integral points, and primitive primes in orbits in characteristic \(p\). (English) Zbl 07783159 Algebra Number Theory 17, No. 9, 1573-1594 (2023). MSC: 37P15 37P05 37P30 11G50 11R32 11D61 14G25 PDFBibTeX XMLCite \textit{A. Carney} et al., Algebra Number Theory 17, No. 9, 1573--1594 (2023; Zbl 07783159) Full Text: DOI
Zhong, Xiao Dynamical cancellation of polynomials. (English) Zbl 07779855 Bull. Lond. Math. Soc. 55, No. 6, 2948-2962 (2023). MSC: 14G05 37P55 PDFBibTeX XMLCite \textit{X. Zhong}, Bull. Lond. Math. Soc. 55, No. 6, 2948--2962 (2023; Zbl 07779855) Full Text: DOI arXiv OA License
Kellock, Lilybelle Cowland; Dokchitser, Vladimir Root numbers and parity phenomena. (English) Zbl 07779833 Bull. Lond. Math. Soc. 55, No. 6, 2557-2597 (2023). Reviewer: Alejandro José Giangreco Maidana (Asunción) MSC: 11G05 11G10 11G40 PDFBibTeX XMLCite \textit{L. C. Kellock} and \textit{V. Dokchitser}, Bull. Lond. Math. Soc. 55, No. 6, 2557--2597 (2023; Zbl 07779833) Full Text: DOI arXiv OA License
Beresnevich, Victor; Yang, Lei Khintchine’s theorem and Diophantine approximation on manifolds. (English) Zbl 07779088 Acta Math. 231, No. 1, 1-30 (2023). MSC: 11J13 11J83 11K55 11K60 PDFBibTeX XMLCite \textit{V. Beresnevich} and \textit{L. Yang}, Acta Math. 231, No. 1, 1--30 (2023; Zbl 07779088) Full Text: DOI arXiv
Joe, Jonathan; Noble, Matt A triangle-free, 4-chromatic \(\mathbb{Q}^3\) Euclidean distance graph Scavenger hunt! (English) Zbl 1528.05018 Discrete Appl. Math. 339, 216-226 (2023). MSC: 05C12 05C15 11D09 51M20 PDFBibTeX XMLCite \textit{J. Joe} and \textit{M. Noble}, Discrete Appl. Math. 339, 216--226 (2023; Zbl 1528.05018) Full Text: DOI arXiv
Oliver, Thomas; Wuthrich, Christian Counting points on elliptic curves. (English) Zbl 1525.11064 Lond. Math. Soc., Newsl. 2023, No. 509, 31-35 (2023). MSC: 11G05 14G05 11G40 PDFBibTeX XMLCite \textit{T. Oliver} and \textit{C. Wuthrich}, Lond. Math. Soc., Newsl. 2023, No. 509, 31--35 (2023; Zbl 1525.11064) Full Text: Link
Mazur, Barry; Rubin, Karl Arithmetic conjectures suggested by the statistical behavior of modular symbols. (English) Zbl 07772718 Exp. Math. 32, No. 4, 657-672 (2023). Reviewer: B. Z. Moroz (Bonn) MSC: 11G05 11F67 11G40 14G05 PDFBibTeX XMLCite \textit{B. Mazur} and \textit{K. Rubin}, Exp. Math. 32, No. 4, 657--672 (2023; Zbl 07772718) Full Text: DOI arXiv
Hoskins, Jeremy; Kabluchko, Zakhar Dynamics of zeroes under repeated differentiation. (English) Zbl 07772713 Exp. Math. 32, No. 4, 573-599 (2023). MSC: 30C15 35A25 60B10 60B20 60F10 82C70 35Q70 46L54 44A15 31A99 PDFBibTeX XMLCite \textit{J. Hoskins} and \textit{Z. Kabluchko}, Exp. Math. 32, No. 4, 573--599 (2023; Zbl 07772713) Full Text: DOI arXiv
Bardestani, Mohammad; Mallahi-Karai, Keivan; Rumiantsau, Dzmitry; Salmasian, Hadi Polynomiality of the faithful dimension for nilpotent groups over finite truncated valuation rings. (English) Zbl 07772574 Trans. Am. Math. Soc. 376, No. 12, 8795-8823 (2023). MSC: 20G05 20C15 14G05 PDFBibTeX XMLCite \textit{M. Bardestani} et al., Trans. Am. Math. Soc. 376, No. 12, 8795--8823 (2023; Zbl 07772574) Full Text: DOI arXiv
Giménez, Nardo; Matera, Guillermo; Pérez, Mariana; Privitelli, Melina The distribution of defective multivariate polynomial systems over a Finite field. (English) Zbl 07771586 Acta Arith. 211, No. 2, 97-120 (2023). MSC: 14M10 11G25 14G15 14G05 PDFBibTeX XMLCite \textit{N. Giménez} et al., Acta Arith. 211, No. 2, 97--120 (2023; Zbl 07771586) Full Text: DOI arXiv
Krasoń, Piotr Some remarks on the reduction map for Drinfeld modules. (English) Zbl 07771571 Acta Arith. 210, 175-190 (2023). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11G09 14G05 14G25 11J93 PDFBibTeX XMLCite \textit{P. Krasoń}, Acta Arith. 210, 175--190 (2023; Zbl 07771571) Full Text: DOI
Bisui, Sankhaneel; Jiang, Zhan; Maitra, Sarasij; Nguyễn, Thái Thành; Schwede, Karl Finding points on varieties with Macaulay2. (English) Zbl 07771376 J. Softw. Algebra Geom. 13, 33-43 (2023). MSC: 13C99 14G05 PDFBibTeX XMLCite \textit{S. Bisui} et al., J. Softw. Algebra Geom. 13, 33--43 (2023; Zbl 07771376) Full Text: DOI arXiv
Poëls, Anthony; Roy, Damien Parametric geometry of numbers over a number field and extension of scalars. (English) Zbl 07771232 Bull. Soc. Math. Fr. 151, No. 2, 257-303 (2023). MSC: 11J13 11H06 11J82 PDFBibTeX XMLCite \textit{A. Poëls} and \textit{D. Roy}, Bull. Soc. Math. Fr. 151, No. 2, 257--303 (2023; Zbl 07771232) Full Text: DOI arXiv
Bary-Soroker, Lior; Fehm, Arno; Petersen, Sebastian Ramified covers of abelian varieties over torsion fields. (English) Zbl 07771195 J. Reine Angew. Math. 805, 185-211 (2023). MSC: 11G10 14G05 PDFBibTeX XMLCite \textit{L. Bary-Soroker} et al., J. Reine Angew. Math. 805, 185--211 (2023; Zbl 07771195) Full Text: DOI arXiv
Caro, Jerson; Pasten, Hector A Chabauty-Coleman bound for surfaces. (English) Zbl 07770157 Invent. Math. 234, No. 3, 1197-1250 (2023). Reviewer: Stanley Yao Xiao (Waterloo) MSC: 11G35 11G25 14G05 11G10 14J20 PDFBibTeX XMLCite \textit{J. Caro} and \textit{H. Pasten}, Invent. Math. 234, No. 3, 1197--1250 (2023; Zbl 07770157) Full Text: DOI arXiv
Heath-Brown, D. R. The distribution of rational points on conics. (English) Zbl 07768660 Acta Arith. 209, 91-128 (2023). MSC: 11D45 11D09 11E08 14G05 PDFBibTeX XMLCite \textit{D. R. Heath-Brown}, Acta Arith. 209, 91--128 (2023; Zbl 07768660) Full Text: DOI arXiv
Arai, Keisuke Points on Shimura curves rational over imaginary quadratic fields in the non-split case. (English) Zbl 07767764 Math. Z. 305, No. 4, Paper No. 60, 19 p. (2023). MSC: 11G18 14G05 11G10 11G15 PDFBibTeX XMLCite \textit{K. Arai}, Math. Z. 305, No. 4, Paper No. 60, 19 p. (2023; Zbl 07767764) Full Text: DOI arXiv
Tsantaris, Athanasios Explosion points and topology of Julia sets of Zorich maps. (English) Zbl 07762918 Comput. Methods Funct. Theory 23, No. 4, 663-688 (2023). MSC: 37F80 37F10 30C65 54G15 54F65 PDFBibTeX XMLCite \textit{A. Tsantaris}, Comput. Methods Funct. Theory 23, No. 4, 663--688 (2023; Zbl 07762918) Full Text: DOI arXiv OA License
Zhu, Guangyan; Hong, Siao On the number of rational points of certain algebraic varieties over finite fields. (English) Zbl 07762866 Forum Math. 35, No. 6, 1511-1532 (2023). MSC: 11T06 11G25 14G05 PDFBibTeX XMLCite \textit{G. Zhu} and \textit{S. Hong}, Forum Math. 35, No. 6, 1511--1532 (2023; Zbl 07762866) Full Text: DOI
Cheraghi, Davoud Arithmetic geometric model for the renormalisation of irrationally indifferent attractors. (English) Zbl 07758700 Nonlinearity 36, No. 12, 6403-6475 (2023). MSC: 37F25 37F50 37F10 PDFBibTeX XMLCite \textit{D. Cheraghi}, Nonlinearity 36, No. 12, 6403--6475 (2023; Zbl 07758700) Full Text: DOI arXiv OA License
Saïdi, Mohamed Further examples of non-geometric sections of arithmetic fundamental groups. (English) Zbl 07755536 Publ. Res. Inst. Math. Sci. 59, No. 3, 571-586 (2023). MSC: 11G20 14H25 14H30 14G05 PDFBibTeX XMLCite \textit{M. Saïdi}, Publ. Res. Inst. Math. Sci. 59, No. 3, 571--586 (2023; Zbl 07755536) Full Text: DOI arXiv
Dan-Cohen, Ishai; Jarossay, David \(M_{0, 5}\): toward the Chabauty-Kim method in higher dimensions. (English) Zbl 07754836 Mathematika 69, No. 4, 1011-1059 (2023). MSC: 11G55 14F35 14G05 14F30 PDFBibTeX XMLCite \textit{I. Dan-Cohen} and \textit{D. Jarossay}, Mathematika 69, No. 4, 1011--1059 (2023; Zbl 07754836) Full Text: DOI arXiv OA License
Adiceam, Faustin; Marmon, Oscar Rational points close to non-singular algebraic curves. (English) Zbl 07754833 Mathematika 69, No. 4, 957-987 (2023). Reviewer: Paul Voutier (London) MSC: 11J25 PDFBibTeX XMLCite \textit{F. Adiceam} and \textit{O. Marmon}, Mathematika 69, No. 4, 957--987 (2023; Zbl 07754833) Full Text: DOI arXiv OA License
Cluckers, Raf; Halupczok, Immanuel; Rideau-Kikuchi, Silvain; Vermeulen, Floris Hensel minimality II: Mixed characteristic and a Diophantine application. (English) Zbl 07753224 Forum Math. Sigma 11, Paper No. e89, 33 p. (2023). MSC: 03C99 14G05 03C65 12J20 11G50 11D88 03C98 14E18 41A58 PDFBibTeX XMLCite \textit{R. Cluckers} et al., Forum Math. Sigma 11, Paper No. e89, 33 p. (2023; Zbl 07753224) Full Text: DOI arXiv OA License
Guo, Jia-Wei; Yang, Yifan; Yoo, Hwajong; Yu, Myungjun The rational cuspidal subgroup of \(J_0(p^2M)\) with \(M\) squarefree. (English) Zbl 07750733 Math. Nachr. 296, No. 10, 4634-4655 (2023). Reviewer: Fumio Hazama (Hatoyama) MSC: 11G18 11G16 14G05 14H45 PDFBibTeX XMLCite \textit{J.-W. Guo} et al., Math. Nachr. 296, No. 10, 4634--4655 (2023; Zbl 07750733) Full Text: DOI arXiv