40 citations · 186 across the 28 of their papers we have counts for
28 papers · 1 filter
K-stable Fano 3-folds in the families 2.18 and 3.4
Ivan Cheltsov, Kento Fujita, Takashi Kishimoto +1
We prove that smooth Fano 3-folds in the families 2.18 and 3.4 are K-stable.
Degree of irrationality of Fano threefold hypersurfaces
Ivan Cheltsov, Jihun Park
We study degree of irrationality of quasismooth anticanonically embedded weighted Fano 3-fold hypersurfaces that have terminal singularities.
-inequality for points and applications to birational rigidity
Igor Krylov, Takuzo Okada, Erik Paemurru +1
The -inequality for smooth points plays an important role in the proofs of birational (super)rigidity. The main aim of this paper is to generalize such an inequality to term…
K-stable Fano threefolds of rank 2 and degree 30
Ivan Cheltsov, Jihun Park
We find all K-stable smooth Fano threefolds in the family No. 2.22.
On geometry of Fano threefold hypersurfaces
Hamid Ahmadinezhad, Ivan Cheltsov, Jihun Park
We prove that a quasi-smooth Fano threefold hypersurface is birationally rigid if and only if it has Fano index one.
Cylinders in Fano varieties
Ivan Cheltsov, Jihun Park, Yuri Prokhorov +1
This paper is a survey about cylinders in Fano varieties and related problems.