Erf, admittedly this lens is weak at 10mm, while better from 12-20, so if we're trying to compare 10mm to a good copy of the kit lens at 18mm, we may see that the Sigma's worse at bits.
A few things though - HDR from the camera isn't perfect, please use single shots to compare with because HDR involves shooting three times in the camera and then composing them - the software to merge them in the camera isn't guaranteed to get it perfect. Perhaps the kit lens consistently does better in HDR than the Sigma, but for demonstration purposes, it's best to show us single frame shots.
Also - to have odd blurry bits in one part of the picture and not the other when it's at F8 and 10mm could possibly be a lens fault - something may be misaligned. Everything should be in focus at F8 and 10mm, and if one area is sharp without motion blur, rest of it shouldn't be blurred either. So I don't know. I don't have a kit lens to compare with right now.
http://farm8.staticflickr.com/7145/6562547761_0a758f37e7_o.jpg <- full size image
My full size at F8 and 16mm, and my immediate notion based on what I can see in the bricks and the buildings in the distance, it outclasses my kit lens when I had it before.