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- Russian Academy of SciencesRU852 papers
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8 papers · 2 filters
Icosahedron in birational geometry
Yuri Prokhorov
We study quotients of projective and affine spaces by various actions of the icosahedral group. Basically we concentrate on the rationality questions.
On the birational geometry of sextic threefold hypersurface in
Yuri Prokhorov
We investigate birational properties of hypersurfaces of degree in the weighted projective space . In particular, we prove that any such quasi-smooth hyp…
The variety of flexes of plane cubics
Vladimir L. Popov
Let be the variety of flexes of plane cubics. We prove that (1) is an irreducible rational algebraic variety endowed with a faithful algebraic action of ; (2)…
Finite abelian groups acting on rationally connected threefolds I: Groups of product type
Konstantin Loginov
We initiate the study of finite abelian groups that faithfully act on -dimensional rationally connected varieties. We show that these groups can be naturally divided into three…
Derived Categories of Grassmannians: a Survey
Anton Fonarev
We discuss what is known about the structure of the bounded derived categories of coherent sheaves on Grassmannians of simple algebraic groups.
The most symmetric smooth cubic surface
Anastasia V. Vikulova
In this paper for any field of characteristic different from 2 we find the largest automorphism group of a smooth cubic surface over this field. Moreover, we prove that for a given…