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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
Published by: The Johns Hopkins University Press
Stable URL: http://www.jstor.org/stable/25098658
Page Count: 8
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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.
American Journal of Mathematics © 1999 The Johns Hopkins University Press