\(c_1\)-Cohomological Rigidity for Smooth Toric Fano Varieties of Picard Number Two

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2024年9月1日

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Yunhyung Cho,
Eunjeong Lee,
Mikiya Masuda,
Seonjeong Park

摘要

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 \(2\) .