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Existence of Simple Jacobian Varieties of Genus g with Rank at Least 4g + 5

Tetsuji Shioda and Tomohide Terasoma
American Journal of Mathematics
Vol. 121, No. 1 (Feb., 1999), pp. 65-72
Stable URL: http://www.jstor.org/stable/25098658
Page Count: 8
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Existence of Simple Jacobian Varieties of Genus g with Rank at Least 4g + 5
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Abstract

We prove the existence of infinitely many curves of genus g over the rational number field which have absolutely simple Jacobian varieties with Mordell-Weil rank at least 4g + 5.

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