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A counterexample to the maximality of toric varieties
Authors:Valerie Hower
Institution:Department of Mathematics, Georgia Institute of Technology, Atlanta, Georgia 30332
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 $ \mathbb{Z}_2$ Betti numbers of $ X(\mathbb{R})$ strictly less than the sum of the $ \mathbb{Z}_2$ Betti numbers of $ X(\mathbb{C})$.

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