English

A counterexample to the maximality of toric varieties

Algebraic Geometry 2007-05-23 v1

Abstract

We present a counterexample to the conjecture of Bihan, Franz, McCrory, and van Hamel concerning the maximality of toric varieties. There exists a six dimensional projective toric variety X with the sum of the mod 2 Betti numbers of X(R) strictly less than the sum of the mod 2 Betti numbers of X(C).

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Cite

@article{arxiv.math/0611925,
  title  = {A counterexample to the maximality of toric varieties},
  author = {Valerie Hower},
  journal= {arXiv preprint arXiv:math/0611925},
  year   = {2007}
}

Comments

3 pages