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Search: MSC category 14H45 ( Special curves and curves of low genus )

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1. CMB 2009 (vol 53 pp. 58)

Dąbrowski, Andrzej; Jędrzejak, Tomasz
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)

de Quehen, Victoria E.; Roberts, Leslie G.
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

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