Kazhdan, David; Polishchuk, Alexander Schmidt rank of quartics over perfect fields. (English) Zbl 1519.14049 Isr. J. Math. 255, No. 2, 851-869 (2023). Reviewer: Edoardo Ballico (Povo) MSC: 14N07 12E05 15A21 13A02 14R20 PDFBibTeX XMLCite \textit{D. Kazhdan} and \textit{A. Polishchuk}, Isr. J. Math. 255, No. 2, 851--869 (2023; Zbl 1519.14049) Full Text: DOI arXiv
Lercier, Reynald; Liu, Qing; Lorenzo García, Elisa; Ritzenthaler, Christophe Reduction type of smooth plane quartics. (English) Zbl 1494.13006 Algebra Number Theory 15, No. 6, 1429-1468 (2021). Reviewer: Sophie Kriz (Ann Arbor) MSC: 13A50 14H10 14H25 14L24 PDFBibTeX XMLCite \textit{R. Lercier} et al., Algebra Number Theory 15, No. 6, 1429--1468 (2021; Zbl 1494.13006) Full Text: DOI arXiv
Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen Reconstructing plane quartics from their invariants. (English) Zbl 1439.13020 Discrete Comput. Geom. 63, No. 1, 73-113 (2020). Reviewer: Peter Schenzel (Halle) MSC: 13A50 14L24 14H10 14H25 PDFBibTeX XMLCite \textit{R. Lercier} et al., Discrete Comput. Geom. 63, No. 1, 73--113 (2020; Zbl 1439.13020) Full Text: DOI arXiv
Marques, Sophie; Ward, Kenneth An explicit triangular integral basis for any separable cubic extension of a function field. (English) Zbl 1437.11155 Eur. J. Math. 5, No. 4, 1252-1266 (2019). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11R58 13P10 11R16 11T55 PDFBibTeX XMLCite \textit{S. Marques} and \textit{K. Ward}, Eur. J. Math. 5, No. 4, 1252--1266 (2019; Zbl 1437.11155) Full Text: DOI arXiv
Taous, Mohammed; Zekhnini, Abdelkader Pólya groups of the imaginary bicyclic biquadratic number fields. (English) Zbl 1428.11185 J. Number Theory 177, 307-327 (2017). MSC: 11R04 11R16 11R27 13F20 PDFBibTeX XMLCite \textit{M. Taous} and \textit{A. Zekhnini}, J. Number Theory 177, 307--327 (2017; Zbl 1428.11185) Full Text: DOI
Leriche, Amandine Cubic, quartic and sextic Pólya fields. (English) Zbl 1296.11136 J. Number Theory 133, No. 1, 59-71 (2013). MSC: 11R16 11R20 11R04 13F20 PDFBibTeX XMLCite \textit{A. Leriche}, J. Number Theory 133, No. 1, 59--71 (2013; Zbl 1296.11136) Full Text: DOI
Lezowski, Pierre Examples of norm-Euclidean ideal classes. (English) Zbl 1290.11159 Int. J. Number Theory 8, No. 5, 1315-1333 (2012). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11Y40 11R16 11R29 13F07 PDFBibTeX XMLCite \textit{P. Lezowski}, Int. J. Number Theory 8, No. 5, 1315--1333 (2012; Zbl 1290.11159) Full Text: DOI
Leriche, Amandine Pólya fields and Pólya numbers. (English) Zbl 1474.11184 Actes Rencontres C.I.R.M. 2, No. 2, 21-26 (2010). MSC: 11R04 13F20 11R16 11R37 PDFBibTeX XMLCite \textit{A. Leriche}, Actes Rencontres C.I.R.M. 2, No. 2, 21--26 (2010; Zbl 1474.11184) Full Text: DOI
Zhou, Haiyan On the \(p^{2}\)-rank of tame kernels of quadratic fields. (English) Zbl 1166.11044 Commun. Algebra 35, No. 9, 2810-2819 (2007). MSC: 11R70 11R16 13C20 13D15 19C99 PDFBibTeX XMLCite \textit{H. Zhou}, Commun. Algebra 35, No. 9, 2810--2819 (2007; Zbl 1166.11044) Full Text: DOI
Swan, Richard G. Hilbert’s theorem on positive ternary quartics. (English) Zbl 1026.11045 Bayer-Fluckiger, Eva (ed.) et al., Quadratic forms and their applications. Proceedings of the conference, University College Dublin, Ireland, July 5-9, 1999. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 272, 287-292 (2000). Reviewer: N.Schwartz (Passau) MSC: 11E10 13J30 11E76 12D15 PDFBibTeX XMLCite \textit{R. G. Swan}, Contemp. Math. 272, 287--292 (2000; Zbl 1026.11045)
Powers, Victoria; Reznick, Bruce Notes towards a constructive proof of Hilbert’s theorem on ternary quartics. (English) Zbl 1026.11044 Bayer-Fluckiger, Eva (ed.) et al., Quadratic forms and their applications. Proceedings of the conference, University College Dublin, Ireland, July 5-9, 1999. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 272, 209-227 (2000). Reviewer: N.Schwartz (Passau) MSC: 11E10 13J30 11E76 PDFBibTeX XMLCite \textit{V. Powers} and \textit{B. Reznick}, Contemp. Math. 272, 209--227 (2000; Zbl 1026.11044)
Pethö, Attila Application of Gröbner bases to the resolution of systems of norm equations. (English) Zbl 0922.11116 Watt, Stephen M. (ed.), ISSAC ’91. Proceedings of the 1991 international symposium on Symbolic and algebraic computation. Bonn, Germany, July 15–17, 1991. New York, NY: ACM Press, 144-150 (1991). MSC: 11Y50 13P10 11D57 11R16 PDFBibTeX XMLCite \textit{A. Pethö}, in: ISSAC '91. Proceedings of the 1991 international symposium on Symbolic and algebraic computation. Bonn, Germany, July 15--17, 1991. New York, NY: ACM Press. 144--150 (1991; Zbl 0922.11116)
Egami, Shigeki Euclid’s algorithm in pure quartic fields. (English) Zbl 0431.12003 Tokyo J. Math. 2, 379-385 (1979). MSC: 11R16 11R27 13F07 PDFBibTeX XMLCite \textit{S. Egami}, Tokyo J. Math. 2, 379--385 (1979; Zbl 0431.12003) Full Text: DOI
Godwin, H. J. Computations relating to cubic fields. (English) Zbl 0219.12010 Computers in Number Theory, Proc. Atlas Sympos. No. 2, Oxford 1969, 225-229 (1971). MSC: 11R16 11Y40 13F07 PDFBibTeX XML