Classification of smooth Fano varieties with large pseudoindex

Abstract

Let $X$ be a complex smooth Fano variety of dimension at least four. In this paper, we classify such $X$ when the pseudoindex is at least $n-2$ and the Picard number greater than one. We also discuss the relations between pseudoindex and other invariants of Fano varieties.

This paper's content has been integrated into arXiv:2309.03438