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Hesse Pencils and 3-Torsion Structures
Ane S. I. Anema, Jaap Top, Anne Tuijp Bernoulli Institute for Mathematics, Computer Science and Artificial Intelligence, University of Groningen, P.O. Box 407, 9700 AK Groningen, The Netherlands
Abstract:
This paper intends to focus on the universal property of this Hesse pencil and of its twists. The main goal is to do this as explicit and elementary as possible, and moreover to do it in such a way that it works in every characteristic different from three.
Keywords:
Hesse pencil; Galois representation; torsion points; elliptic curves.
Received: May 8, 2018; in final form September 18, 2018; Published online September 21, 2018
Citation:
Ane S. I. Anema, Jaap Top, Anne Tuijp, “Hesse Pencils and 3-Torsion Structures”, SIGMA, 14 (2018), 102, 13 pp.
Linking options:
https://www.mathnet.ru/eng/sigma1401 https://www.mathnet.ru/eng/sigma/v14/p102
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Statistics & downloads: |
Abstract page: | 122 | Full-text PDF : | 37 | References: | 25 |
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