Add to ORKGWe extend the algebraic K-stability theory to projective klt pairs with a big anticanonical class. While in general such a pair could behave pathologically, it is observed in this note that K-semistability condition will force them to have a klt anticanonical model, whose stability property is the same as the original pair.Comment: 9 pages, Final versio
Log Fano cone singularities are generalizations of cones over log Fano varieties. There is a local K...
We study invariants of singularities that have arisen in connection with the K-stability of Fano va...
Let $f:X\rightarrow Y$ be an algebraic fibre space between normal projective varieties and $F$ be a ...
We extend the algebraic K-stability theory to projective klt pairs with a biganticanonical class. Wh...
For a given K-polystable Fano variety $X$ and a natural number $l$ such that $(X, \frac{1}{l} B)$ is...
For a given K-polystable Fano variety $X$ and a natural number $l$ such that $(X, \frac{1}{l} B)$ is...
We introduce a notion of uniform Ding stability for a projective manifold with big anticanonical cla...
AbstractWe give a purely algebro–geometric proof that if the α-invariant of a Q-Fano variety X is gr...
We show that certain Galois covers of K-semistable Fano varieties are K-stable. We use this to give ...
We develop a general approach to prove K-stability of Fano varieties. The new theory is used to (a) ...
To any projective pair $(X,B)$ equipped with an ample $\mathbb{Q}$-line bundle $L$ (or even any ampl...
To any projective pair $(X,B)$ equipped with an ample $\mathbb{Q}$-line bundle $L$ (or even any ampl...
The log canonical ring of a projective plt pair with the Kodaira dimension two is finitely generated...
We study the anti-canonical ring of a projective variety and we characterise varieties of log Fano t...
In this paper, we establish a structure theorem for projective klt pairs $(X,\Delta)$ with nef anti-...
Log Fano cone singularities are generalizations of cones over log Fano varieties. There is a local K...
We study invariants of singularities that have arisen in connection with the K-stability of Fano va...
Let $f:X\rightarrow Y$ be an algebraic fibre space between normal projective varieties and $F$ be a ...
We extend the algebraic K-stability theory to projective klt pairs with a biganticanonical class. Wh...
For a given K-polystable Fano variety $X$ and a natural number $l$ such that $(X, \frac{1}{l} B)$ is...
For a given K-polystable Fano variety $X$ and a natural number $l$ such that $(X, \frac{1}{l} B)$ is...
We introduce a notion of uniform Ding stability for a projective manifold with big anticanonical cla...
AbstractWe give a purely algebro–geometric proof that if the α-invariant of a Q-Fano variety X is gr...
We show that certain Galois covers of K-semistable Fano varieties are K-stable. We use this to give ...
We develop a general approach to prove K-stability of Fano varieties. The new theory is used to (a) ...
To any projective pair $(X,B)$ equipped with an ample $\mathbb{Q}$-line bundle $L$ (or even any ampl...
To any projective pair $(X,B)$ equipped with an ample $\mathbb{Q}$-line bundle $L$ (or even any ampl...
The log canonical ring of a projective plt pair with the Kodaira dimension two is finitely generated...
We study the anti-canonical ring of a projective variety and we characterise varieties of log Fano t...
In this paper, we establish a structure theorem for projective klt pairs $(X,\Delta)$ with nef anti-...
Log Fano cone singularities are generalizations of cones over log Fano varieties. There is a local K...
We study invariants of singularities that have arisen in connection with the K-stability of Fano va...
Let $f:X\rightarrow Y$ be an algebraic fibre space between normal projective varieties and $F$ be a ...