camera on a tripod, and a good turntable for the jewellery. if you want to replicate the light in the video you can use fresnel or par light from top but you could maybe experiment with large shaped soft reflection made with softer sources and flags and then add some fill and edge light if necessary. I would maybe use more backlight than directly from top to get nicer reflections depending on how much highlights your camera can handle.
if the shadows need to be small and therefore you have to key light from top, then you can try to add some very tightly controlled edge or side light which is flagged off of the surface but highlights the jewellery nicely. that way you have single shadows on the surface but much nicer light on jewellery.
you can use kino flo:s , led panels, tungsten lights for this. small dedolight type controllable fixtures are great for sharp edge light and sidelight. relatively small lights depending on the size of the subject, if using tungsten you can use for example 100-300w range lights