$c_1$-cohomological rigidity on Fano generalized Bott manifolds

$c_1$-cohomological rigidity on Fano generalized Bott manifolds

Seojeong Park, Jeonju University

*Please note the time change* 10:00AM EST

Zoom link: https://princeton.zoom.us/j/92116764865

Passcode: 114700

A smooth Fano variety is a smooth projective variety $X$ whose anti-canonical divisor $−K_X$ is ample. In this talk, we consider the conjecture that two smooth Fano toric varieties are isomorphic if there exists a $c_1$-preserving isomorphism between their integral cohomology rings. I will introduce a partial affirmative result to the conjecture on Fano generalized Bott manifolds.

This is joint work with Yunhyung Cho, Eunjeong Lee, and Mikiya Masuda.