A counterexample to the maximality of toric varieties

Details A counterexample to the maximality of toric varieties A counterexample to the maximality of toric varieties

2006-11-29

arxiv.org/abs/math/0611925v1

Mathematics

Algebraic Geometry

3 pages

Scientific paper

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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