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math.AG2023
Birationally rigid hypersurfaces with quadratic singularities of low rank
Aleksandr V. Pukhlikov
It is shown that hypersurfaces of degree in , , with at most quadratic singularities of rank at least 3, satisfying certain conditions of general p…
math.AG2023
Rationally connected Galois covers of Fano-Mori fibre spaces
Aleksandr V. Pukhlikov
For Fano-Mori fibre spaces , every fibre of which is a primitive Fano variety with the global canonical threshold at least 1, and which are stable with respect to b…
math.AG2023
Birationally rigid Fano-Mori fibre spaces
Aleksandr V. Pukhlikov
In this paper we prove the birational rigidity of Fano-Mori fibre spaces , every fibre of which is a Fano complete intersection of index 1 and codimension $k\geqsla…