# On Fano varieties with large pseudo-index - Mathematics > Algebraic Geometry

Abstract: Let $X$ be a Fano variety with at worst isolated quotient singularities. Ourresult asserts that if $C \cdot -K X > max\{\frac{n}{2}+1,\frac{2n}{3}\}$ forevery curve $C \subset X$, then $ho X=1$.

Author: Jiun-Cheng Chen

Source: https://arxiv.org/