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Iskovskikh Seminar
March 2, 2017 18:00, Moscow, Steklov Mathematical Institute, room 540
 


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 NéronSeveri 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.

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