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- W2001836251 abstract "In this paper we show an Arakelov inequality for semi-stable families of algebraic curves of genus g⩾1 over characteristic p with nontrivial Kodaira–Spencer maps. We apply this inequality to obtain an upper bound of the number of algebraic curves of p-rank zero in a semi-stable family over characteristic p with nontrivial Kodaira–Spencer map in terms of the genus of a general closed fiber, the genus of the base curve and the number of singular fibres. The parallel results for smooth families of Abelian varieties over k with W2-lifting assumption are also obtained." @default.
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- W2001836251 date "2009-12-01" @default.
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- W2001836251 title "An Arakelov inequality in characteristic p and upper bound of p-rank zero locus" @default.
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- W2001836251 doi "https://doi.org/10.1016/j.jnt.2009.05.015" @default.
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