Fano varieties of coindex 1

Index of a Fano variety is the greatest number i dividing canonical class in the Néron–Severi group. We define coindex of Fano variety as n-i, where n is dimension of variety. Fano varities of coindex -1 are projective spaces, while varities of coindex 0 are quadrics. In my talk I am going to tell about classification of Fano varieties of coindex 1 according to works of Fujita.