supersingular

supersingular

정의: In mathematics, a supersingular variety is (usually) a smooth projective variety in nonzero characteristic such that for all n the slopes of the Newton polygon of the nth crystalline cohomology are all n/2. For special classes of varieties such as elliptic curves, it is common to use various ad hoc definitions of "supersingular", which are (usually) equivalent to the one given above. At the opposite extreme, a variety is called ordinary if its Newton polygon coincides with its Hodge polygon. Despite the terminology, "supersingular" and "singular" do not indicate that the variety has singularities.