TY - JOUR AB - We define an overconvergent version of the Hyodo–Kato complex for semi-stable 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 semi-stable case. AU - Gregory, Oliver AU - Langer, Andreas DA - 2020 DO - 10.17879/90169635144 LA - eng IS - Münster Journal of Mathematics M2 - 541 PY - 2020 SP - 541-571 T2 - Münster Journal of Mathematics TI - Overconvergent de Rham–Witt cohomology for semi-stable varieties UR - https://nbn-resolving.org/urn:nbn:de:hbz:6-90169635796 Y2 - 2024-11-22T03:56:31 ER -