At 16mm, you can use 72mm filters with the lens cap tube fitted with a slight increase in vignetting wide open. For some of the focal length range, you can use Lee or Cokin square filters hand-held (or with a jury-rigged standard that attaches to the camera body rather than to the lens), but the field of view will be bigger than the standard 4-inch filter size at the 8mm-end of the scale.
Normally with lenses of this design (and with fast long telephotos having huge front elements) the filters are either attached at the back of the lens (replacing a plain glass "filter" that is installed otherwise) or are fitted into a drawer of sorts near the rear of the lens. Sigma did not choose to go that route, and due to the extreme convexity of the front element and the extreme field of view at 8mm, there is no way to use a front-mounted filter at all focal lengths. (A polarizer would be out of the question in any case with a lens that wide, except as a "special effect".)