English

Degenerating abelian varieties via log abelian varieties

Algebraic Geometry 2019-09-04 v3

Abstract

For any split totally degenerate abelian variety over a complete discrete valuation field, we construct a log abelian variety over the discrete valuation ring extending the given abelian variety. This generalizes the log Tate curve of Kato.

Keywords

Cite

@article{arxiv.1412.5651,
  title  = {Degenerating abelian varieties via log abelian varieties},
  author = {Heer Zhao},
  journal= {arXiv preprint arXiv:1412.5651},
  year   = {2019}
}