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math.AG2019★ 2 cited
Extending finite subgroup schemes of semi-stable abelian varieties via log abelian varieties
Heer Zhao
For a semi-stable abelian variety A_K over a complete discrete valuation field K, we show that every finite subgroup scheme of A_K extends to a log finite flat group scheme over th…
math.AG2019★ 3 cited
Extending tamely ramified strict 1-motives into ket log 1-motives
Heer Zhao
We define ket abelian schemes, ket 1-motives, and ket log 1-motives, and formulate duality theory for these objects. Then we show that tamely ramified strict 1-motives over a compl…
math.AG2019
Comparison of Kummer logarithmic topologies with classical topologies
Heer Zhao
We compare the Kummer flat (resp. Kummer etale) cohomology with the flat (resp. etale) cohomology with coefficients in smooth commutative group schemes, finite flat group schemes a…