The invention provides a single or a multilayer PVD coated sharp edged cutting tool, which can at the same time exhibit satisfactory wear and thermochemical resistance as well as resistance to edge chipping. The cutting tool comprises a sintered body made of a cemented carbide, a CBN, a cermet or a ceramic material having a cutting edge with an edge radius Re, a flank and a rake face and a multilayer coating consisting of a PVD coating comprising at least one oxidic PVD layer covering at least parts of the surface of the sintered body. In one embodiment the edge radius Re is smaller than 40 μm, preferably smaller than or equal to 30 μm. The covered parts of the surface preferably comprise at least some parts of the sharp edge of the sintered body.