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

Published 5 Oct 2023 in math.AG and math.SG | (2310.03219v1)

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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