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

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### 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