Bounds of the rank of the Mordell–Weil group of Jacobians of Hyperelliptic Curves

Author:

Daniels Harris B.,Lozano-Robledo Álvaro,Wallace Erik

Publisher

Cellule MathDoc/CEDRAM

Reference21 articles.

1. [1] Armitage, John V.; Fröhlich, Albrecht Classnumbers and unit signatures, Mathematika, Volume 14 (1967), pp. 94-98

2. [2] Cassels, J. W. S. The Mordell–Weil group of curves of genus 2, Arithmetic and geometry, Vol. I (Progress in Mathematics) Volume 35, Birkhäuser, 1983, pp. 27-60

3. [3] Daniels, Harris B.; Lozano-Robledo, Álvaro; Wallace, Erik Data for Bounds of the rank of the Mordell–Weil group of Jacobians of Hyperelliptic Curves (Available at https://www3.amherst.edu/~hdaniels/)

4. [4] Davis, Daniel Computing the number of totally positive circular units which are squares, J. Number Theory, Volume 10 (1978) no. 1, pp. 1-9

5. [5] Dummit, David S.; Voight, John The 2-Selmer group of a number field and heuristics for narrow class groups and signature ranks of units (2017) (appendic with R. Foote, https://arxiv.org/abs/1702.00092v1)

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