arXiv:0909.4425 Reduction of Abelian Varieties and Grothendieck’s Pairing from arXiv Front: math.AG by 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 tamely ramified extension of the ground field. Using this result we obtain perfectness results for Grothendieck’s pairing.
nLab page on Grothendieck pairing