In this short note, we give an alternative proof of the semipositivity of the Chow–Mumford line bundle for families of K-semistable log-Fano pairs, and of the nefness threeshold for the log-anti-canonical line bundle on families of K-stable log Fano pairs. We also prove a bound on the multiplicity of fibers for families of K-semistable log Fano varieties, which to the best of our knowledge is new
Log Fano cone singularities are generalizations of cones over log Fano varieties. There is a local K...
We find Fano threefolds $X$ admitting K\"ahler-Ricci solitons (KRS) with non-trivial moduli, which a...
We prove that the target space of an extremal Fano contraction from a log canonical pair has only lo...
In this short note, we give an alternative proof of the semipositivity of the Chow–Mumford line bund...
The Chow-Mumford (CM) line bundle is a functorial line bundle on the base of any family of klt Fano ...
We prove that K-polystable log Fano pairs have reductive automorphism groups. In fact, we deduce thi...
In this paper we study the smoothing of a semistable Fano variety over a perfect field k. In charact...
In this thesis, we define the -invariant for log Fano cone singularities, and show that the necessar...
Using the Abban-Zhuang theory and the classification of three-dimensional log smooth log Fano pairs ...
We prove that all Fano threefolds with log-terminal singularities of given index belong to finitely ...
For a given K-polystable Fano variety $X$ and a natural number $l$ such that $(X, \frac{1}{l} B)$ is...
Abstract. We prove that all Fano threefolds with log-terminal singularities of given index belong to...
In this paper, we use canonical bundle formulas to prove some generalizations of an old theorem of K...
We study log canonical thresholds (also called global log canonical threshold or α-invariant) of R-l...
Let f: (X, D)→B be a stable family with log canonical general fiber. We prove that, after a biration...
Log Fano cone singularities are generalizations of cones over log Fano varieties. There is a local K...
We find Fano threefolds $X$ admitting K\"ahler-Ricci solitons (KRS) with non-trivial moduli, which a...
We prove that the target space of an extremal Fano contraction from a log canonical pair has only lo...
In this short note, we give an alternative proof of the semipositivity of the Chow–Mumford line bund...
The Chow-Mumford (CM) line bundle is a functorial line bundle on the base of any family of klt Fano ...
We prove that K-polystable log Fano pairs have reductive automorphism groups. In fact, we deduce thi...
In this paper we study the smoothing of a semistable Fano variety over a perfect field k. In charact...
In this thesis, we define the -invariant for log Fano cone singularities, and show that the necessar...
Using the Abban-Zhuang theory and the classification of three-dimensional log smooth log Fano pairs ...
We prove that all Fano threefolds with log-terminal singularities of given index belong to finitely ...
For a given K-polystable Fano variety $X$ and a natural number $l$ such that $(X, \frac{1}{l} B)$ is...
Abstract. We prove that all Fano threefolds with log-terminal singularities of given index belong to...
In this paper, we use canonical bundle formulas to prove some generalizations of an old theorem of K...
We study log canonical thresholds (also called global log canonical threshold or α-invariant) of R-l...
Let f: (X, D)→B be a stable family with log canonical general fiber. We prove that, after a biration...
Log Fano cone singularities are generalizations of cones over log Fano varieties. There is a local K...
We find Fano threefolds $X$ admitting K\"ahler-Ricci solitons (KRS) with non-trivial moduli, which a...
We prove that the target space of an extremal Fano contraction from a log canonical pair has only lo...
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