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math.AG2018
On forms of the Segre cubic
Artem Avilov
In this article we study forms of the Segre cubic over non-algebraically closed fields, their automorphism groups and equivariant birational rigidity. In particular, we show that a…
math.AG2018
Automorphisms of threefolds that can be represented as an intersection of two quadrics
Artem Avilov
In this paper we classify all potentially G-birationally rigid del Pezzo threefolds of degree 4 and their automorphism groups and prove the G-birational rigidity of one of them
math.AG2018
Biregular and birational geometry of quartic double solids with 15 nodes
Artem Avilov
Three-dimensional del Pezzo varieties of degree 2 are double covers of projective space branced in a quadric. In this paper we prove that if a del Pezzo variety of…