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1. CMB 2009 (vol 53 pp. 58)
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Ranks in Families of Jacobian Varieties of Twisted Fermat Curves In this paper, we prove that the unboundedness of ranks in families of Jacobian varieties of twisted Fermat curves is equivalent to the divergence of certain infinite series.
Keywords:Fermat curve, Jacobian variety, elliptic curve, canonical height Categories:11G10, 11G05, 11G50, 14G05, 11G30, 14H45, 14K15 |
2. CMB 2005 (vol 48 pp. 203)
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Non-Cohen--Macaulay Projective Monomial Curves with Positive ${h}$-Vector We find an infinite family of projective monomial
curves all of which have $h$-vector with no negative values and
are not Cohen-Macaulay.
Category:14H45 |