K-semistable Fano manifolds with the smallest alpha invariant

Abstract

In this short note, we show that K-semistable Fano manifolds with the smallest alpha invariant are projective spaces. Singular cases are also investigated.

9 pages, comments are welcome

References in corpus (1)

• On K-stability and the volume functions of $\mathbb{Q}$-Fano varieties

Cited by in corpus (1)

• Higher Codimensional Alpha Invariants and Characterization of Projective Spaces