Some results about zero-cycles on abelian and semi-abelian varieties

2018/05/15 by Gazaki, Evangelia · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1805.05496

Abstract

In this short note we extend some results obtained in \citeGazaki2015. First, we prove that for an abelian variety A with good ordinary reduction over a finite extension of ℚ_p with p an odd prime, the Albanese kernel of A is the direct sum of its maximal divisible subgroup and a torsion group. Second, for a semi-abelian variety G over a perfect field k, we construct a decreasing integral filtration \F^r\_{r≥ 0} of Suslin's singular homology group, H₀^sing(G), such that the successive quotients are isomorphic to a certain Somekawa K-group.

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• Zero-cycles on quasi-projective surfaces over p-adic fields

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