A p-ADIC NONABELIAN CRITERION FOR GOOD REDUCTION OF CURVES

作者:Andreatta Fabrizio*; Iovita Adrian; Kim Minhyong
来源:Duke Mathematical Journal, 2015, 164(13): 2597-2642.
DOI:10.1215/00127094-3146817

摘要

Let K be a complete discrete valuation field of characteristic 0, with valuation ring O-K and perfect residue field k of positive characteristic p. We prove that a proper and smooth curve over K, admitting a semistable model over O-K, has good reduction if and only if its unipotent p-adic etale fundamental group is crystalline.

  • 出版日期2015-10-1