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 PDF BibTeX XML Cite \textit{R. Lercier} et al., Discrete Comput. Geom. 63, No. 1, 73--113 (2020; Zbl 1439.13020) Full Text: DOI
Lercier, Reynald; Ritzenthaler, Christophe; Rovetta, Florent; Sijsling, Jeroen; Smith, Benjamin Distributions of traces of Frobenius for smooth plane curves over finite fields. (English) Zbl 1431.14047 Exp. Math. 28, No. 1, 39-48 (2019). Reviewer: Fernando Torres (Campinas) MSC: 14Q05 14H10 14H25 14H37 14H45 14H50 PDF BibTeX XML Cite \textit{R. Lercier} et al., Exp. Math. 28, No. 1, 39--48 (2019; Zbl 1431.14047) Full Text: DOI
Kılıçer, Pınar; Labrande, Hugo; Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen; Streng, Marco Plane quartics over \(\mathbb {Q}\) with complex multiplication. (English) Zbl 1409.14051 Acta Arith. 185, No. 2, 127-156 (2018). Reviewer: Tony Ezome (Libreville) MSC: 14H25 11G15 11Y40 14H45 14K22 14K25 14Q05 13A50 PDF BibTeX XML Cite \textit{P. Kılıçer} et al., Acta Arith. 185, No. 2, 127--156 (2018; Zbl 1409.14051) Full Text: DOI
Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen Explicit Galois obstruction and descent for hyperelliptic curves with tamely cyclic reduced automorphism group. (English) Zbl 1343.14047 Math. Comput. 85, No. 300, 2011-2045 (2016). Reviewer: Sungkon Chang (Savannah) MSC: 14Q05 13A50 14H10 14H25 14H37 PDF BibTeX XML Cite \textit{R. Lercier} et al., Math. Comput. 85, No. 300, 2011--2045 (2016; Zbl 1343.14047) Full Text: DOI arXiv
Lercier, Reynald; Ritzenthaler, Christophe; Rovetta, Florent; Sijsling, Jeroen Parametrizing the moduli space of curves and applications to smooth plane quartics over finite fields. (English) Zbl 1333.14060 LMS J. Comput. Math. 17A, Spec. Iss., 128-147 (2014). Reviewer: Fernando Torres (Campinas) MSC: 14Q05 13A50 14H10 14H37 PDF BibTeX XML Cite \textit{R. Lercier} et al., LMS J. Comput. Math. 17A, 128--147 (2014; Zbl 1333.14060) Full Text: DOI arXiv
Basson, Romain; Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen An explicit expression of the Lüroth invariant. (English) Zbl 1360.68915 Kauers, Manuel (ed.), Proceedings of the 38th international symposium on symbolic and algebraic computation, ISSAC 2013, Boston, MA, USA, June 26–29, 2013. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-2059-7). 31-36 (2013). MSC: 68W30 14H50 14Q05 PDF BibTeX XML Cite \textit{R. Basson} et al., in: Proceedings of the 38th international symposium on symbolic and algebraic computation, ISSAC 2013, Boston, MA, USA, June 26--29, 2013. New York, NY: Association for Computing Machinery (ACM). 31--36 (2013; Zbl 1360.68915) Full Text: DOI arXiv
Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen Fast computation of isomorphisms of hyperelliptic curves and explicit Galois descent. (English) Zbl 1344.11049 Howe, Everett W. (ed.) et al., ANTS X. Proceedings of the tenth algorithmic number theory symposium, San Diego, CA, USA, July 9–13, 2012. Berkeley, CA: Mathematical Sciences Publishers (MSP) (ISBN 978-1-935107-00-2/hbk; 978-1-935107-01-9/ebook). The Open Book Series 1, 463-486 (2013). MSC: 11G30 14Q05 14H45 PDF BibTeX XML Cite \textit{R. Lercier} et al., Open Book Ser. 1, 463--486 (2013; Zbl 1344.11049) Full Text: arXiv
Lercier, Reynald; Ritzenthaler, Christophe Hyperelliptic curves and their invariants: geometric, arithmetic and algorithmic aspects. (English) Zbl 1276.14088 J. Algebra 372, 595-636 (2012). Reviewer: Enric Nart Viñals (Barcelona) MSC: 14Q05 13A50 14H10 14H37 PDF BibTeX XML Cite \textit{R. Lercier} and \textit{C. Ritzenthaler}, J. Algebra 372, 595--636 (2012; Zbl 1276.14088) Full Text: DOI arXiv