3 papers
math.AG2026
Factoriality and birational rigidity of two families of singular quartic three-folds
Aleksandr V. Pukhlikov
In this paper we study two families of three-dimensional quartics in the complex projective space : hypersurfaces with a unique quadratic singularity of rank 3, whic…
math.AG2024
Birational rigidity of quartic three-folds with a double point of rank 3
Aleksandr V. Pukhlikov
We prove that a general three-dimensional quartic in the complex projective space , the only singularity of which is a double point of rank 3, is a birationally…
math.AG2024
Affine complements in the projective space with the trivial group of automorphisms
Aleksandr V. Pukhlikov
We construct a new class of affine complements with the trivial group of automorphisms, where is a rational hypersurface, is…