Add to ORKGWe classify birationally rigid orbifold Fano 3-folds of index one defined by $5 \times 5$ Pfaffians. We give a sharp criterion for birational rigidity of these families based on the type of singularities that the varieties admit. Various conjectures are born out of our study, highlighting a possible approach to the classification of terminal Fano 3-folds. The birationally rigid cases are the first known rigid examples of Fanos that are not (weighted) complete intersection.Comment: Final version. To appear in Algebraic Geometr
For a terminal weak $\mathbb{Q}$-Fano $3$-fold $X$, we show that the $m$-th anti-canonical map defin...
For a terminal weak $\mathbb{Q}$-Fano $3$-fold $X$, we show that the $m$-th anti-canonical map defin...
By identifying K-polystable limits in 4 specific deformations families of smooth Fano 3-folds, we co...
We give conditions for a uniruled variety of dimension at least 2 to be non-solid. This study provid...
We complete the analysis on the birational rigidity of quasismooth Fano 3-fold deformation families ...
Varieties fibered into del Pezzo surfaces form a class of possible outputs of the minimal model prog...
An algebraic variety is called rationally connected if two generic points can be connected by a curv...
We construct $S$-linear semiorthogonal decompositions of derived categories of smooth Fano threefold...
We study a wide class of affine varieties, which we call affine Fano varieties. By analogy with bira...
We prove that every quasi-smooth weighted Fano threefold hypersurface in the 95 families of Fletcher...
For a complex connected semisimple linear algebraic group G of adjoint type and of rank n, De Concin...
For a general Fano 3-fold of index 1 in the weighted projective space (1, 1, 1, 1, 2, 2, 3) we const...
We give conditions for a uniruled variety of dimension at least 2 to be nonsolid. This study provide...
In this paper, we study the birational geometry of certain examples of mildly singular quartic 3-fol...
Explicit birational geometry of 3-folds represents a second phase of Mori theory, going beyond the f...
For a terminal weak $\mathbb{Q}$-Fano $3$-fold $X$, we show that the $m$-th anti-canonical map defin...
For a terminal weak $\mathbb{Q}$-Fano $3$-fold $X$, we show that the $m$-th anti-canonical map defin...
By identifying K-polystable limits in 4 specific deformations families of smooth Fano 3-folds, we co...
We give conditions for a uniruled variety of dimension at least 2 to be non-solid. This study provid...
We complete the analysis on the birational rigidity of quasismooth Fano 3-fold deformation families ...
Varieties fibered into del Pezzo surfaces form a class of possible outputs of the minimal model prog...
An algebraic variety is called rationally connected if two generic points can be connected by a curv...
We construct $S$-linear semiorthogonal decompositions of derived categories of smooth Fano threefold...
We study a wide class of affine varieties, which we call affine Fano varieties. By analogy with bira...
We prove that every quasi-smooth weighted Fano threefold hypersurface in the 95 families of Fletcher...
For a complex connected semisimple linear algebraic group G of adjoint type and of rank n, De Concin...
For a general Fano 3-fold of index 1 in the weighted projective space (1, 1, 1, 1, 2, 2, 3) we const...
We give conditions for a uniruled variety of dimension at least 2 to be nonsolid. This study provide...
In this paper, we study the birational geometry of certain examples of mildly singular quartic 3-fol...
Explicit birational geometry of 3-folds represents a second phase of Mori theory, going beyond the f...
For a terminal weak $\mathbb{Q}$-Fano $3$-fold $X$, we show that the $m$-th anti-canonical map defin...
For a terminal weak $\mathbb{Q}$-Fano $3$-fold $X$, we show that the $m$-th anti-canonical map defin...
By identifying K-polystable limits in 4 specific deformations families of smooth Fano 3-folds, we co...