Let K be a complete discrete valuation field with residue field of positive characteristic. We study the Barsotti-Tate group of a K-1-motive and we give a condition to extend it to a logarithmic BT-group over the valuation ring. We compare two notions of monodromy appearing in the literature.
Monodromy of logarithmic Barsotti-Tate groups attached to 1-motives
BERTAPELLE, ALESSANDRA;CANDILERA, MAURIZIO;
2004
Abstract
Let K be a complete discrete valuation field with residue field of positive characteristic. We study the Barsotti-Tate group of a K-1-motive and we give a condition to extend it to a logarithmic BT-group over the valuation ring. We compare two notions of monodromy appearing in the literature.
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