What's different between native resolution and supported resolution?

The native resolution is the Horizontal by Vertical pixel count. For example, if the resolution is 1920x1080, that means there are 1920 horizontal pixels by 1080 vertical pixels on the DMD Chip. The real pixels depend on the resolution of a DMD-chip. For supported resolutions, the projector could have the Native DMD chip with 1024 x768 native resolution, but it can support higher resolutions 1280*800 or higher via the DDC timing IC and software translatation. Thus the 1024 x768 is the native resolution and any resolution higher or lower is the supported resolution.