119 citations · 995 across the 77 of their papers we have counts for
77 papers
-Fano threefolds of Fano index thirteen
Yuri Prokhorov
We show that a non-toric -factorial terminal Fano threefold of Picard rank and Fano index is a weighted hypersurface of degree in .
On higher-dimensional del Pezzo varieties
Alexander Kuznetsov, Yuri Prokhorov
We study del Pezzo varieties, higher-dimensional analogues of del Pezzo surfaces. In particular, we introduce ADE classification of del Pezzo varieties, show that in type A the dim…
Rationality of Fano threefolds with terminal Gorenstein singularities, II
Yuri Prokhorov
We classify nonrational Fano threefolds with terminal Gorenstein singularities such that $\mathrm{\rk}\, \mathrm{\Pic}(X)=1$, , and $\mathrm{\rk}\, \mathrm{\Cl}(…
Embeddings of the symmetric groups to the space Cremona group
Yuri Prokhorov
We study embeddings of symmetric groups to the space Cremona group.
Conic bundle structures on Q-Fano threefolds
Yuri Prokhorov
We obtain a sufficient condition for a Fano threefold with terminal singularities to have a conic bundle structure.
Finite groups of bimeromorphic selfmaps of non-uniruled Kähler threefolds
Yuri Prokhorov, Constantin Shramov
We prove the Jordan property for groups of bimeromorphic selfmaps of three-dimensional compact Kähler varieties of non-negative Kodaira dimension and positive irregularity.