9 citations · 9 across the 2 of their papers we have counts for
5 papers
Degenerations of del Pezzo surfaces I
Paul Hacking, Yuri Prokhorov
Let X be a surface with quotient singularities which admits a smoothing to the plane. We prove that X is a deformation of a weighted projective plane P(a^2,b^2,c^2), where a,b,c is…
Threefold Thresholds
James McKernan, Yuri Prokhorov
We prove that the set of accumulation points of thresholds in dimension three is equal to the set of thresholds in dimension two, excluding one.
Hypersurface exceptional singularities
Shihoko Ishii, Yuri Prokhorov
This paper studies hypersurface exceptional singularities in defined by non-degenerate function. For each canonical hypersurface singularity, there exists a weighted…
Exceptional quotient singularities
D. Markushevich, Yu. G. Prokhorov
A singularity is said to be exceptional (in the sense of V. Shokurov), if for any log canonical boundary, there is at most one exceptional divisor of discrepancy -1. In our previou…
Klein's group defines an exceptional singularity of dimension 3
D. Markushevich, Yu. G. Prokhorov
We construct two examples of canonical exceptional singularities.