Syntomic cohomology of Morava K-theory

Gabriel Angelini-Knoll, Jeremy Hahn, Dylan Wilson

We compute the MU-based syntomic cohomologies, mod $(p,v_1,\cdots ,v_{n+1})$, of all ${\mathbb{E}}_1$-MU-algebra forms of connective Morava K-theory k(n). As qualitative consequences,…