Birationally rigid Fano cyclic covers

نویسنده

  • Aleksandr V. Pukhlikov
چکیده

then V is a primitive Fano variety of dimensionM , that is, Pic V = ZKV and (−KV ) is ample. The purpose of this note is to sketch a proof of the following Theorem 1. A general (in the sense of Zariski topology) variety V is birationally superrigid. In particular, V admits no non-trivial structures of a rationally connected fibration, any birational map V 99K V ♯ onto a Fano variety with Q-factorial terminal singularities and rkPicV ♯ = 1 is an isomorphism and the groups of birational and biregular self-maps coincide: Bir V = AutV.

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تاریخ انتشار 2004