$\CalL$-invariants of $p$-adically uniformized varieties Academic Article uri icon

abstract

  • We construct two types of \({\mathcal {L}}\)-invariants attached to varieties which are uniformized by Drinfeld’s p-adic symmetric domain. The first is cohomological, and the second analytic, depending on a theory of p-adic integration. We conjecture that the two \({\mathcal {L}}\)-invariants coincide, and discuss possible arithmetic applications.

publication date

  • January 1, 2016