  We prove the non-commutative analogue of Grothendieck's Standard Conjecture D
for the dg-category of matrix factorizations of an isolated hypersurface
singularity in characteristic 0. Along the way, we show the Euler pairing for
such dg-categories of matrix factorizations is positive semi-definite.

Algebraic Geometry;Commutative Algebra;K-Theory and Homology