Examples of singular toric varieties with certain numerical conditions

Abstract

We give various examples of Q-factorial projective toric varieties such that the sum of the squared torus invariant prime divisors is positive. We also determine the generators for the cone of effective $2$-cycles on a toric variety of Picard number two. This result is convenient to explain our examples.

7 pages, v2: minor revisions, to appear in Osaka Journal of Mathematics