2 papers
math.AG2026
Double Veronese cones with singularities
Yuri Prokhorov
We study double Veronese cones -- three-dimensional del Pezzo varieties of degree one -- with terminal Gorenstein singularities. We prove sharp bounds for the number of nodes, dete…
math.AG2025
Simple subgroups of the real space Cremona group
Ivan Cheltsov, Antoine Pinardin, Yuri Prokhorov
We show that the alternating groups and are the only finite simple non-abelian subgroups of the group of birational selfmaps of the real three-dim…