English

Examples of singular toric varieties with certain numerical conditions

Algebraic Geometry 2019-12-18 v2

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 22-cycles on a toric variety of Picard number two. This result is convenient to explain our examples.

Keywords

Cite

@article{arxiv.1807.11747,
  title  = {Examples of singular toric varieties with certain numerical conditions},
  author = {Hiroshi Sato and Yusuke Suyama},
  journal= {arXiv preprint arXiv:1807.11747},
  year   = {2019}
}

Comments

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