Finiteness of analytic cohomology of Lubin-Tate $({\phi }_L,{\Gamma }_L)$-modules

Rustam Steingart

We prove finiteness and base change properties for analytic cohomology of families of $L$-analytic $({\phi }_L,{\Gamma }_L)$-modules parametrised by affinoid algebras in the sense of Tate. For t…