Bennett, Michael A.; Siksek, Samir Differences between perfect powers: prime power gaps. (English) Zbl 07783166 Algebra Number Theory 17, No. 10, 1789-1846 (2023). MSC: 11D61 11D41 11F80 PDFBibTeX XMLCite \textit{M. A. Bennett} and \textit{S. Siksek}, Algebra Number Theory 17, No. 10, 1789--1846 (2023; Zbl 07783166) Full Text: DOI arXiv
Lorenzini, Dino; Schröer, Stefan Discriminant groups of wild cyclic quotient singularities. (English) Zbl 1527.13008 Algebra Number Theory 17, No. 5, 1017-1068 (2023). Reviewer: Ana Bravo (Madrid) MSC: 13A50 14B05 14E15 14J17 PDFBibTeX XMLCite \textit{D. Lorenzini} and \textit{S. Schröer}, Algebra Number Theory 17, No. 5, 1017--1068 (2023; Zbl 1527.13008) Full Text: DOI arXiv
Derickx, Maarten; Kamienny, Sheldon; Stein, William; Stoll, Michael Torsion points on elliptic curves over number fields of small degree. (English) Zbl 07669194 Algebra Number Theory 17, No. 2, 267-308 (2023). MSC: 11G05 14G05 14G25 14H52 PDFBibTeX XMLCite \textit{M. Derickx} et al., Algebra Number Theory 17, No. 2, 267--308 (2023; Zbl 07669194) Full Text: DOI arXiv
Bruin, Nils; Thomas, Jordan; Várilly-Alvarado, Anthony Explicit computation of symmetric differentials and its application to quasihyperbolicity. (English) Zbl 1524.14092 Algebra Number Theory 16, No. 6, 1377-1405 (2022). MSC: 14J60 14Q10 14J25 14J29 14M10 PDFBibTeX XMLCite \textit{N. Bruin} et al., Algebra Number Theory 16, No. 6, 1377--1405 (2022; Zbl 1524.14092) Full Text: DOI arXiv
Laga, Jef The average size of the 2-Selmer group of a family of non-hyperelliptic curves of genus 3. (English) Zbl 1518.11052 Algebra Number Theory 16, No. 5, 1161-1212 (2022). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11G30 11E72 11N45 14G05 14G25 14H40 14H45 PDFBibTeX XMLCite \textit{J. Laga}, Algebra Number Theory 16, No. 5, 1161--1212 (2022; Zbl 1518.11052) Full Text: DOI arXiv
Freitas, Nuno; Kraus, Alain; Siksek, Samir The unit equation over cyclic number fields of prime degree. (English) Zbl 1497.11267 Algebra Number Theory 15, No. 10, 2647-2653 (2021). MSC: 11R20 PDFBibTeX XMLCite \textit{N. Freitas} et al., Algebra Number Theory 15, No. 10, 2647--2653 (2021; Zbl 1497.11267) Full Text: DOI arXiv Link
Derickx, Maarten; Etropolski, Anastassia; van Hoeij, Mark; Morrow, Jackson S.; Zureick-Brown, David Sporadic cubic torsion. (English) Zbl 1479.14039 Algebra Number Theory 15, No. 7, 1837-1864 (2021). Reviewer: Jose Capco (Linz) MSC: 14H52 14Q05 11G18 11G05 11Y50 14H45 PDFBibTeX XMLCite \textit{M. Derickx} et al., Algebra Number Theory 15, No. 7, 1837--1864 (2021; Zbl 1479.14039) Full Text: DOI arXiv
Burness, Timothy C. Base sizes for primitive groups with soluble stabilisers. (English) Zbl 1486.20002 Algebra Number Theory 15, No. 7, 1755-1807 (2021). Reviewer: Anatoli Kondrat’ev (Ekaterinburg) MSC: 20B15 20D06 20D10 PDFBibTeX XMLCite \textit{T. C. Burness}, Algebra Number Theory 15, No. 7, 1755--1807 (2021; Zbl 1486.20002) Full Text: DOI arXiv
Lai, King-Fai; Longhi, Ignazio; Suzuki, Takashi; Tan, Ki-Seng; Trihan, Fabien On the \(\mu\)-invariants of abelian varieties over function fields of positive characteristic. (English) Zbl 1479.11191 Algebra Number Theory 15, No. 4, 863-907 (2021). MSC: 11R23 11G10 11S40 14J27 PDFBibTeX XMLCite \textit{K.-F. Lai} et al., Algebra Number Theory 15, No. 4, 863--907 (2021; Zbl 1479.11191) Full Text: DOI arXiv Link
Landesman, Aaron The geometric average size of Selmer groups over function fields. (English) Zbl 1472.11181 Algebra Number Theory 15, No. 3, 673-709 (2021). MSC: 11G05 11N45 11R58 PDFBibTeX XMLCite \textit{A. Landesman}, Algebra Number Theory 15, No. 3, 673--709 (2021; Zbl 1472.11181) Full Text: DOI arXiv
Bhargava, Manjul; Klagsbrun, Zev; Lemke Oliver, Robert J.; Shnidman, Ari Elements of given order in Tate-Shafarevich groups of abelian varieties in quadratic twist families. (English) Zbl 1478.11082 Algebra Number Theory 15, No. 3, 627-655 (2021). Reviewer: Emiliano Ambrosi (Strasbourg) MSC: 11G05 11G10 PDFBibTeX XMLCite \textit{M. Bhargava} et al., Algebra Number Theory 15, No. 3, 627--655 (2021; Zbl 1478.11082) Full Text: DOI arXiv
Dembélé, Lassina An intriguing hyperelliptic Shimura curve quotient of genus 16. (English) Zbl 1460.11086 Algebra Number Theory 14, No. 10, 2713-2742 (2020). MSC: 11G18 11F41 11F80 PDFBibTeX XMLCite \textit{L. Dembélé}, Algebra Number Theory 14, No. 10, 2713--2742 (2020; Zbl 1460.11086) Full Text: DOI arXiv
Freitas, Nuno; Kraus, Alain; Siksek, Samir On asymptotic Fermat over \(\mathbb{Z}_p\)-extensions of \(\mathbb{Q}\). (English) Zbl 1492.11073 Algebra Number Theory 14, No. 9, 2571-2574 (2020). Reviewer: Lhoussain El Fadil (Fès) MSC: 11D41 11R23 PDFBibTeX XMLCite \textit{N. Freitas} et al., Algebra Number Theory 14, No. 9, 2571--2574 (2020; Zbl 1492.11073) Full Text: DOI arXiv
Derickx, Maarten; Najman, Filip; Siksek, Samir Elliptic curves over totally real cubic fields are modular. (English) Zbl 1471.11178 Algebra Number Theory 14, No. 7, 1791-1800 (2020). MSC: 11F80 11G05 PDFBibTeX XMLCite \textit{M. Derickx} et al., Algebra Number Theory 14, No. 7, 1791--1800 (2020; Zbl 1471.11178) Full Text: DOI arXiv Link
Fité, Francesc; Guitart, Xavier Endomorphism algebras of geometrically split abelian surfaces over \(\mathbb{Q} \). (English) Zbl 1469.11194 Algebra Number Theory 14, No. 6, 1399-1421 (2020). MSC: 11G18 11G15 14K22 PDFBibTeX XMLCite \textit{F. Fité} and \textit{X. Guitart}, Algebra Number Theory 14, No. 6, 1399--1421 (2020; Zbl 1469.11194) Full Text: DOI arXiv
Booher, Jeremy; Cais, Bryden \(a\)-numbers of curves in Artin-Schreier covers. (English) Zbl 1454.14080 Algebra Number Theory 14, No. 3, 593-653 (2020). MSC: 14H30 14G17 11G20 14H40 PDFBibTeX XMLCite \textit{J. Booher} and \textit{B. Cais}, Algebra Number Theory 14, No. 3, 593--653 (2020; Zbl 1454.14080) Full Text: DOI arXiv
Brumer, Armand; Pacetti, Ariel; Poor, Cris; Tornaría, Gonzalo; Voight, John; Yuen, David On the paramodularity of typical abelian surfaces. (English) Zbl 1466.11019 Algebra Number Theory 13, No. 5, 1145-1195 (2019). MSC: 11F46 11Y40 PDFBibTeX XMLCite \textit{A. Brumer} et al., Algebra Number Theory 13, No. 5, 1145--1195 (2019; Zbl 1466.11019) Full Text: DOI arXiv
Krumm, David A finiteness theorem for specializations of dynatomic polynomials. (English) Zbl 1442.37121 Algebra Number Theory 13, No. 4, 963-993 (2019). MSC: 37P05 37P35 11S15 PDFBibTeX XMLCite \textit{D. Krumm}, Algebra Number Theory 13, No. 4, 963--993 (2019; Zbl 1442.37121) Full Text: DOI arXiv
Morgan, Adam Quadratic twists of abelian varieties and disparity in Selmer ranks. (English) Zbl 1455.11087 Algebra Number Theory 13, No. 4, 839-899 (2019). Reviewer: Sajad Salami (Rio de Janeiro) MSC: 11G10 PDFBibTeX XMLCite \textit{A. Morgan}, Algebra Number Theory 13, No. 4, 839--899 (2019; Zbl 1455.11087) Full Text: DOI arXiv
Kraus, Alain Fermat’s theorem over some totally real number fields. (Le théorème de Fermat sur certains corps de nombres totalement réels.) (French. English summary) Zbl 1441.11063 Algebra Number Theory 13, No. 2, 301-332 (2019). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11D41 11G05 11R37 PDFBibTeX XMLCite \textit{A. Kraus}, Algebra Number Theory 13, No. 2, 301--332 (2019; Zbl 1441.11063) Full Text: DOI arXiv
Brumer, Armand; Kramer, Kenneth Certain abelian varieties bad at only one prime. (English) Zbl 1404.11083 Algebra Number Theory 12, No. 5, 1027-1071 (2018). Reviewer: Remke Kloosterman (Padova) MSC: 11G10 11R37 11S31 14K15 PDFBibTeX XMLCite \textit{A. Brumer} and \textit{K. Kramer}, Algebra Number Theory 12, No. 5, 1027--1071 (2018; Zbl 1404.11083) Full Text: DOI arXiv
Sutherland, Andrew V.; Zywina, David Modular curves of prime-power level with infinitely many rational points. (English) Zbl 1374.14022 Algebra Number Theory 11, No. 5, 1199-1229 (2017). Reviewer: Elisa Lorenzo García (Rennes) MSC: 14G35 11F80 11G05 PDFBibTeX XMLCite \textit{A. V. Sutherland} and \textit{D. Zywina}, Algebra Number Theory 11, No. 5, 1199--1229 (2017; Zbl 1374.14022) Full Text: DOI arXiv