Singularities of the biextension metric for families of abelian varieties

2016/04/03 by Gil, Jose Ignacio Burgos, Holmes, David, de Jong, Robin · 1 citation
#14H10 11G50 14D07 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1604.00686

Abstract

In this paper we study the singularities of the invariant metric of the Poincaré bundle over a family of abelian varieties and their duals over a base of arbitrary dimension. As an application of this study we prove the effectiveness of the height jump divisors for families of pointed abelian varieties. The effectiveness of the height jump divisor was conjectured by Hain in the more general case of variations of polarized Hodge structures of weight -1.

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