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Fano varieties of coindex 1 R. Abugaliev National Research University "Higher School of Economics" (HSE), Moscow |
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Abstract: 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. |