Add to ORKGFor a given K-polystable Fano variety $X$ and a natural number $l$ such that $(X, \frac{1}{l} B)$ is log canonical for some $B\in |-lK_X|$, we show that there exists a rational number $0<c_1<1$ depending only on $X$ and $l$, such that $D\in |-lK_X|$ is GIT-(semi/poly)stable under the action of Aut(X) if and only if the pair $(X, \frac{\epsilon}{l}D)$ is K-(semi/poly)stable for some rational $0<\epsilon<c_1$.Comment: Final version. Title changed, to appear in Math. Res. Let
We present some applications of the deformation theory of toric Fano varieties to K-(semi/poly)stabi...
We prove that K-polystable log Fano pairs have reductive automorphism groups. In fact, we deduce thi...
For every integer a ≥ 2, we relate the K-stability of hypersurfaces in the weighted projective space...
For a given K-polystable Fano variety $X$ and a natural number $l$ such that $(X, \frac{1}{l} B)$ is...
We develop a general approach to prove K-stability of Fano varieties. The new theory is used to (a) ...
We show that certain Galois covers of K-semistable Fano varieties are K-stable. We use this to give ...
AbstractWe give a purely algebro–geometric proof that if the α-invariant of a Q-Fano variety X is gr...
We extend the algebraic K-stability theory to projective klt pairs with a big anticanonical class. W...
We find Fano threefolds $X$ admitting K\"ahler-Ricci solitons (KRS) with non-trivial moduli, which a...
To any projective pair $(X,B)$ equipped with an ample $\mathbb{Q}$-line bundle $L$ (or even any ampl...
In this thesis, we define the -invariant for log Fano cone singularities, and show that the necessar...
To any projective pair $(X,B)$ equipped with an ample $\mathbb{Q}$-line bundle $L$ (or even any ampl...
Abstract We establish an algebraic approach to prove the properness of moduli spaces ...
We study invariants of singularities that have arisen in connection with the K-stability of Fano va...
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 prove that K-polystable log Fano pairs have reductive automorphism groups. In fact, we deduce thi...
For every integer a ≥ 2, we relate the K-stability of hypersurfaces in the weighted projective space...
For a given K-polystable Fano variety $X$ and a natural number $l$ such that $(X, \frac{1}{l} B)$ is...
We develop a general approach to prove K-stability of Fano varieties. The new theory is used to (a) ...
We show that certain Galois covers of K-semistable Fano varieties are K-stable. We use this to give ...
AbstractWe give a purely algebro–geometric proof that if the α-invariant of a Q-Fano variety X is gr...
We extend the algebraic K-stability theory to projective klt pairs with a big anticanonical class. W...
We find Fano threefolds $X$ admitting K\"ahler-Ricci solitons (KRS) with non-trivial moduli, which a...
To any projective pair $(X,B)$ equipped with an ample $\mathbb{Q}$-line bundle $L$ (or even any ampl...
In this thesis, we define the -invariant for log Fano cone singularities, and show that the necessar...
To any projective pair $(X,B)$ equipped with an ample $\mathbb{Q}$-line bundle $L$ (or even any ampl...
Abstract We establish an algebraic approach to prove the properness of moduli spaces ...
We study invariants of singularities that have arisen in connection with the K-stability of Fano va...
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 prove that K-polystable log Fano pairs have reductive automorphism groups. In fact, we deduce thi...
For every integer a ≥ 2, we relate the K-stability of hypersurfaces in the weighted projective space...