A counterexample to the maximality of toric varieties
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- by Valerie Hower PDF
- Proc. Amer. Math. Soc. 136 (2008), 4139-4142 Request permission
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 $X(\mathbb {C})$.References
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Additional Information
- Valerie Hower
- Affiliation: Department of Mathematics, Georgia Institute of Technology, Atlanta, Georgia 30332
- Email: vhower@math.gatech.edu
- Received by editor(s): May 4, 2007
- Received by editor(s) in revised form: November 1, 2007
- Published electronically: June 17, 2008
- Communicated by: Ted Chinburg
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 4139-4142
- MSC (2000): Primary 14M25, 14F45; Secondary 05B35
- DOI: https://doi.org/10.1090/S0002-9939-08-09431-8
- MathSciNet review: 2431025