We give an explicit construction of prime Fano threefolds of genus 12 with a$G_m$-action, describe their isomorphism classes and automorphism groups.Comment: 14 pages, LaTeX, updated version, to appear in \'Epijournal de G\'eom\'etrie Alg\'ebrique, Vol. 2 (2018), Article Nr.
International audienceWe study, after Logachev, the geometry of smooth complex Fano threefolds X X w...
Let $X$ be a smooth Fano variety and $\mathcal{K}u(X)$ the Kuznetsov component. Torelli theorems for...
In this paper, we develop a theory of pseudo-effective sheaves on normalprojective varieties. As an ...
We construct families of non-toric $\mathbb{Q}$-factorial terminal Fano ($\mathbb{Q}$-Fano) threefol...
We classify nonrational Fano threefolds $X$ with terminal Gorenstein singularities such that $\mathr...
We prove that every smooth Fano threefold from the family No 2.8 is K-stable. Such a Fano threefold ...
Mukai varieties are Fano varieties of Picard number one and coindex three. In genus seven to ten the...
We prove several classification results for the components of the moduli space of rational curves on...
We construct $S$-linear semiorthogonal decompositions of derived categories of smooth Fano threefold...
We show that a general prime Fano three-fold X of genus 8 can be reconstructed from the pair (Γ, L),...
We study toric G-solid Fano threefolds that have at most terminal singularities, where G is an algeb...
Firstly, we see that the bases of the miniversal deformations of isolated $\mathbb{Q}$-Gorenstein to...
It is shown here that any prime Fano threefold of genus 9 is not exotic, that is, its scheme of line...
General hyperplane sections of a Fano threefold $Y$ of index 2 and Picardrank 1 are del Pezzo surfac...
We show that a general prime Fano three-fold X of genus 8 can be reconstructed from the pair (Γ, L),...
International audienceWe study, after Logachev, the geometry of smooth complex Fano threefolds X X w...
Let $X$ be a smooth Fano variety and $\mathcal{K}u(X)$ the Kuznetsov component. Torelli theorems for...
In this paper, we develop a theory of pseudo-effective sheaves on normalprojective varieties. As an ...
We construct families of non-toric $\mathbb{Q}$-factorial terminal Fano ($\mathbb{Q}$-Fano) threefol...
We classify nonrational Fano threefolds $X$ with terminal Gorenstein singularities such that $\mathr...
We prove that every smooth Fano threefold from the family No 2.8 is K-stable. Such a Fano threefold ...
Mukai varieties are Fano varieties of Picard number one and coindex three. In genus seven to ten the...
We prove several classification results for the components of the moduli space of rational curves on...
We construct $S$-linear semiorthogonal decompositions of derived categories of smooth Fano threefold...
We show that a general prime Fano three-fold X of genus 8 can be reconstructed from the pair (Γ, L),...
We study toric G-solid Fano threefolds that have at most terminal singularities, where G is an algeb...
Firstly, we see that the bases of the miniversal deformations of isolated $\mathbb{Q}$-Gorenstein to...
It is shown here that any prime Fano threefold of genus 9 is not exotic, that is, its scheme of line...
General hyperplane sections of a Fano threefold $Y$ of index 2 and Picardrank 1 are del Pezzo surfac...
We show that a general prime Fano three-fold X of genus 8 can be reconstructed from the pair (Γ, L),...
International audienceWe study, after Logachev, the geometry of smooth complex Fano threefolds X X w...
Let $X$ be a smooth Fano variety and $\mathcal{K}u(X)$ the Kuznetsov component. Torelli theorems for...
In this paper, we develop a theory of pseudo-effective sheaves on normalprojective varieties. As an ...
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