Overconvergent de Rham-Witt cohomology for semistable varieties

This is the author accepted manuscript. The final version is available from the Mathematisches Institut, Universität Münster via the DOI in this recordWe define an overconvergent version of the Hyodo-Kato complex for semistable varieties Y over perfect fields of positive characteristic, and prove that its hypercohomology tensored with Q recovers the log-rigid cohomology when Y is quasi-projective. We then describe the monodromy operator using the overconvergent Hyodo-Kato complex. Finally, we show that overconvergent Hyodo-Kato cohomology agrees with log-crystalline cohomology in the projective semistable cas