Uniqueness of equivariant compactifications of C^n by a Fano manifold of Picard number 1

Baohua Fu, Jun-Muk Hwang

Let X be an $n$-dimensional Fano manifold of Picard number 1. We study how many different ways X can compactify the complex vector group C^n equivariantly. Hassett and Tschinkel sh…