Supersingularity of Motives with Complex Multiplication and a Twisted Polarization

Abstract

In this note, we prove a criteria for supersingularity when the variety has a large automorphism group and a perfect bilinear pairing. This criteria unifies and extends many known results on the supersingularity of curves and varieties and in particular, applies to a large family of Artin-Schreier curves.

8 pages, edited for clarity