Rational versus real cohomology algebras of low-dimensional toric varieties
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- by Eva Maria Feichtner PDF
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Abstract:
We show that the real cohomology algebra of a compact toric variety of complex dimension $2$ is determined, up to isomorphism, by the combinatorial data of its defining fan. Surprisingly enough, this is no longer the case when taking rational coefficients. Moreover, we show that neither the rational nor the real or complex cohomology algebras of compact quasi-smooth toric varieties are combinatorial invariants in general.References
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Additional Information
- Eva Maria Feichtner
- Affiliation: Department of Mathematics, ETH Zurich, 8092 Zurich, Switzerland
- Email: feichtne@math.ethz.ch
- Received by editor(s): May 14, 1999
- Received by editor(s) in revised form: December 18, 2001, January 25, 2002, and January 30, 2002
- Published electronically: October 1, 2002
- Communicated by: John R. Stembridge
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 1695-1704
- MSC (2000): Primary 14M25; Secondary 14F25, 52B20
- DOI: https://doi.org/10.1090/S0002-9939-02-06735-7
- MathSciNet review: 1955255