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A counterexample to the maximality of toric varieties

Author(s): Valerie Hower
Journal: Proc. Amer. Math. Soc. 136 (2008), 4139-4142.
MSC (2000): Primary 14M25, 14F45; Secondary 05B35
Posted: June 17, 2008
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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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Additional Information:

Valerie Hower
Affiliation: Department of Mathematics, Georgia Institute of Technology, Atlanta, Georgia 30332
Email: vhower@math.gatech.edu

DOI: 10.1090/S0002-9939-08-09431-8
PII: S 0002-9939(08)09431-8
Received by editor(s): May 4, 2007,
Received by editor(s) in revised form: November 1, 2007
Posted: June 17, 2008
Communicated by: Ted Chinburg
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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