Asian Journal of Mathematics
Volume 22 (2018)
Degenerating abelian varieties via log abelian varieties
Pages: 811 – 840
For any split totally degenerate abelian variety over a complete discrete valuation field, we construct a log abelian variety, in the sense of [KKN08a], over the discrete valuation ring extending the given abelian variety. This generalizes Kato’s log Tate curve.
degeneration, log abelian varieties
2010 Mathematics Subject Classification
Primary 14K99. Secondary 14D06.
Received 17 October 2016
Accepted 1 November 2016
Published 9 November 2018