A chuck for a laser beam wafer dicing equipment includes a wafer support plate having an upper surface for holding a wafer disposed on a dicing tape. The upper surface includes a topographically structured surface region that partly or completely overlaps an edge of the wafer when the wafer disposed on the dicing tape is placed on the upper surface. The topographically structured surface region provides for a reduction in an area of contact between the upper surface and the dicing tape.