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arXiv · 2310.03219

$c_1$-cohomological rigidity for smooth toric Fano varieties of Picard number two

Yunhyung Cho·Eunjeong Lee·Mikiya Masuda·Seonjeong Park
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Abstract

The $c_1$-cohomological rigidity conjecture states that two smooth toric Fano varieties are isomorphic as varieties if there is a $c_1$-preserving isomorphism between their integral cohomology rings. In this paper, we confirm the conjecture for smooth toric Fano varieties of Picard number two.

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Yunhyung Cho, Eunjeong Lee, Mikiya Masuda, Seonjeong Park. 2023-10-05. $c_1$-cohomological rigidity for smooth toric Fano varieties of Picard number two. https://arxiv.org/abs/2310.03219

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