most citedReduction of Abelian Varieties and Grothendieck's Pairing

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math.AG2009★ 6 cited

Reduction of Abelian Varieties and Grothendieck's Pairing

Klaus Loerke

We prove that abelian varieties of small dimension over discrete valuated, stricty henselian ground fields with perfect residue class field obtain semistable reduction after a tame…

math.AG2009

Cup Products and Pairings for Abelian Varieties

Klaus Loerke

Let be an abelian variety with semistable reduction over a strictly henselian field of positive characteristic with perfect residue class field. We show that there is a close…