Sigma SD10 has a Sigma SA Bayonet lens mount and currently there are 77 native lenses available for this mount.
The latest released lenses that are compatible with the SD10 are the Sigma 12-24mm F4.5-5.6 EX DG HSM, the Sigma 20mm F1.8 EX DG RF and the Sigma 24mm F1.8 EX DG.
Sigma SD10 doesn't have a sensor based image stabilization system but
29 of these lenses already comes with optical image stabilization.
Since Sigma SD10 has a APS-C sensor, it has a focal length multiplier of so you have to multiply lenses original focal length with this multiplier to find the Full Frame equivalent focal length of the lens when mounted on SD10.
You may also also be interested in these:
Sigma SD10 Lenses with Image Stabilization
Sigma SD10 Lenses with Weather Sealings