On the integral cohomology of toric varieties
2015 ◽
Vol 15
(02)
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pp. 1650032
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It is known that the integral cohomology algebra of any smooth compact toric variety XΣ associated to a complete regular fan Σ is isomorphic to the Stanley–Reisner algebra ℤ[Σ] modulo the ideal JΣ generated by linear relations determined by Σ. The aim of this paper is to show how to determine the integral cohomology algebra of a toric variety (in particular, a projective toric variety) associated to a certain simplicial fan. As a consequence, we confirm our expectation that for a certain simplicial fan the integral cohomology algebra is also given by the same formula as in a complete regular fan.
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2019 ◽
Vol 149
(5)
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pp. 1207-1221
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2017 ◽
Vol 17
(6)
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pp. 3779-3810
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