8 citations · 10 across the 5 of their papers we have counts for
8 papers
Alpha invariants of birationally bi-rigid Fano 3-folds I
In-Kyun Kim, Takuzo Okada, Joonyeong Won
We compute global log canonical thresholds of certain birationally bi-rigid Fano 3-folds embedded in weighted projective spaces as complete intersections of codimension 2 and prove…
Birationally superrigid Fano 3-folds of codimension 4
Takuzo Okada
We determine birational superrigidity for a quasi-smooth prime Fano 3-fold of codimension 4 with no projection centers. In particular we prove birational superrigidity for Fano 3-f…
On birational rigidity of singular del Pezzo fibrations of degree 1
Takuzo Okada
We give a sufficient condition for birational superrigidity of del Pezzo fibrations of degree with only singular points, generalizing the so called -…
Smooth weighted hypersurfaces that are not stably rational
Takuzo Okada
We prove the failure of stable rationality for many smooth well formed weighted hypersurfaces of dimension at least 3. It is in particular proved that a very general smooth well fo…
Stable rationality of del Pezzo fibrations of low degree over projective spaces
Igor Krylov, Takuzo Okada
The main aim of this article is to show that a very general 3-dimensional del Pezzo fibration of degree 1,2,3 is not stably rational except for a del Pezzo fibration of degree 3 be…
Alpha invariants of birationally rigid Fano threefolds
In-Kyun Kim, Takuzo Okada, Joonyeong Won
We compute global log canonical thresholds, or equivalently alpha invariants, of birationally rigid orbifold Fano threefolds embedded in weighted projective spaces as codimension t…