A. Pukhlikov

activity

19962025

most citedBirational geometry of Fano direct products

76 citations · 395 across the 39 of their papers we have counts for

collaborators

Showing 2004Show all

3 papers · 1 filter

math.AG2004★ 9 cited

Birationally rigid Fano cyclic covers

Aleksandr V. Pukhlikov

We prove birational superrigidity of Fano cyclic covers of index 1 over hypersurfaces in the projective space.

math.AG2004★ 76 cited

Birational geometry of Fano direct products

Aleksandr V. Pukhlikov

We prove birational superrigidity of direct products $V = F_{1} \times ... \times F_{K}$ of primitive Fano varieties of the following two types: either $F_{i} \subset P^{M}$ is a genera…

math.AG2004★ 8 cited

Birationally rigid varieties with a pencil of Fano double covers. II

A. V. Pukhlikov

We continue to study birational geometry of Fano fibrations $π : V \to P^{1}$ the fibers of which are Fano double hypersurfaces of index 1. For a majority of families of…