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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.… Click to show full 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 $-1$ .
Keywords:
metric families;
abelian varieties;
biextension metric;
singularities biextension;
families abelian
Journal Title: Forum of Mathematics, Sigma
Year Published: 2018
Link to full text (if available)
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Journal Title: Forum of Mathematics, Sigma
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!