• Corpus ID: 238856686

Extension of Period Maps by Polyhedral Fans

  title={Extension of Period Maps by Polyhedral Fans},
  author={Haohua Deng},
  • Haohua Deng
  • Published 13 October 2021
  • Mathematics
Kato and Usui developed a theory of partial compactifications for quotients of period domains D by arithmetic groups Γ, in an attempt to generalize the toroidal compactifications of AshMumford-Rapoport-Tai to non-classical cases. Their partial compactifications, which aim to fully compactify the images of period maps, rely on a choice of fan which is strongly compatible with Γ. In particular, they conjectured the existence of a complete fan, which would serve to simultaneously compactify all… 


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