Add to ORKGBy identifying K-polystable limits in 4 specific deformations families of smooth Fano 3-folds, we complete the classification of one-dimensional components in the K-moduli space of smoothable Fano 3-folds.Comment: 30 page
We show that index 1 Fano 3-folds which lie in weighted Grassmannians in their total anticanonical e...
We prove that every smooth Fano threefold from the family No 2.8 is K-stable. Such a Fano threefold ...
The Ap\'ery numbers of Fano varieties are asymptotic invariants of their quantum differential equati...
We find all K-polystable limits of smooth Fano threefolds in family 3.10.Comment: 36 page
We find all K-stable smooth Fano threefolds in the family No. 2.22.Comment: 14 page
We present some applications of the deformation theory of toric Fano varieties to K-(semi/poly)stabi...
We present some applications of the deformation theory of toric Fano varieties to K-(semi/poly)stabi...
We introduce a new subclass of Fano varieties (Casagrande-Druel varieties), that are $n$-dimensional...
There are 105 irreducible families of smooth Fano threefolds, which have been classified by Iskovski...
We classify birationally rigid orbifold Fano 3-folds of index one defined by $5 \times 5$ Pfaffians....
In this note we collect some results on the deformation theory of toric Fano varieties.Comment: 24 p...
We find Fano threefolds $X$ admitting K\"ahler-Ricci solitons (KRS) with non-trivial moduli, which a...
Let X be a smooth complex Fano 4-fold. We show that if X has a small elementary contraction, then th...
We construct $S$-linear semiorthogonal decompositions of derived categories of smooth Fano threefold...
Using the technique of categorical absorption of singularities we prove that the nontrivial componen...
We show that index 1 Fano 3-folds which lie in weighted Grassmannians in their total anticanonical e...
We prove that every smooth Fano threefold from the family No 2.8 is K-stable. Such a Fano threefold ...
The Ap\'ery numbers of Fano varieties are asymptotic invariants of their quantum differential equati...
We find all K-polystable limits of smooth Fano threefolds in family 3.10.Comment: 36 page
We find all K-stable smooth Fano threefolds in the family No. 2.22.Comment: 14 page
We present some applications of the deformation theory of toric Fano varieties to K-(semi/poly)stabi...
We present some applications of the deformation theory of toric Fano varieties to K-(semi/poly)stabi...
We introduce a new subclass of Fano varieties (Casagrande-Druel varieties), that are $n$-dimensional...
There are 105 irreducible families of smooth Fano threefolds, which have been classified by Iskovski...
We classify birationally rigid orbifold Fano 3-folds of index one defined by $5 \times 5$ Pfaffians....
In this note we collect some results on the deformation theory of toric Fano varieties.Comment: 24 p...
We find Fano threefolds $X$ admitting K\"ahler-Ricci solitons (KRS) with non-trivial moduli, which a...
Let X be a smooth complex Fano 4-fold. We show that if X has a small elementary contraction, then th...
We construct $S$-linear semiorthogonal decompositions of derived categories of smooth Fano threefold...
Using the technique of categorical absorption of singularities we prove that the nontrivial componen...
We show that index 1 Fano 3-folds which lie in weighted Grassmannians in their total anticanonical e...
We prove that every smooth Fano threefold from the family No 2.8 is K-stable. Such a Fano threefold ...
The Ap\'ery numbers of Fano varieties are asymptotic invariants of their quantum differential equati...