7 citations · 25 across the 8 of their papers we have counts for
8 papers
Toward the classification of threefold extremal contractions with one-dimensional fibers
Shigefumi Mori, Yuri Prokhorov
An extremal curve germ is a germ of a threefold with terminal singularities along a connected reduced complete curve~ such that there exists a -negative contraction $f…
One-nodal Fano threefolds with Picard number one
Alexander Kuznetsov, Yuri Prokhorov
We classify all 1-nodal degenerations of smooth Fano threefolds with Picard number 1 (both nonfactorial and factorial) and describe their geometry. In particular, we describe a rel…
General elephants for threefold extremal contractions with one-dimensional fibers: exceptional case
Shigefumi Mori, Yuri Prokhorov
Let be a germ of a threefold with terminal singularities along a connected reduced complete curve with a contraction such that $C = f^{-1}…
Threefold extremal curve germs with one non-Gorenstein point
Shigefumi Mori, Yuri Prokhorov
An extremal curve germ is the analytic germ of a threefold with terminal singularities along a reduced complete curve admitting a contraction whose fibers have dimension at most on…
Threefold extremal contractions of type (IIA), I
Shigefumi Mori, Yuri Prokhorov
Let be a germ of a threefold with terminal singularities along an irreducible reduced complete curve with a contraction such that $C=f^{-1}(o…
On Fano-Enriques threefolds
Yuri Prokhorov
Let be a projective variety which is not a cone and whose hyperplane sections are smooth Enriques surfaces. We prove that the degree of a is at most 32 a…
On extremal contractions from threefolds to surfaces: the case of one non-Gorenstein point and non-singular base surface
Yuri G. Prokhorov
In this paper we study a local structure of extrmal contractions from threffolds with only terminal singularities onto a surface . If the surface is non…
On Extremal Contractions from Threefolds to Surfaces: the Case of One non-Gorenstein Point
Yuri G. Prokhorov
Let be an extremal contraction from a threefold with only terminal singularities to a surface. We study local analytic structure such contractions near degenerate…