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math.AG2003
Birationally rigid varieties with a pencil of Fano double covers. I
Aleksandr V. Pukhlikov
We prove that a general Fano fibration , the fiber of which is a double Fano hypersurface of index 1, is birationally superrigid provided it is sufficie…
math.AG2003★ 30 cited
Birationally rigid iterated Fano double covers
Aleksandr V. Pukhlikov
Iterating the procedure of making a double cover over a given variety, we construct large families of smooth higher-dimensional Fano varieties of index 1. These varieties can be re…
math.AG2003★ 4 cited
Birationally rigid Fano varieties
Aleksandr V. Pukhlikov
We give a brief survey of the concept of birational rigidity, from its origins in the two-dimensional birational geometry, to its current state. The main ingredients of the method…