International audienceWe construct 4 di erent families of smooth Fano fourfolds with Picard rank 1, which contain cylinders, i.e., Zariski open subsets of the form Z x A1, where Z is a quasiprojective variety. The affi ne cones over such a fourfold admit eff ective Ga-actions. Similar constructions of cylindrical Fano threefolds were done previously in our papers jointly with Takashi Kishimoto
There are 105 irreducible families of smooth Fano threefolds, which have been classified by Iskovski...
We find all K-stable smooth Fano threefolds in the family No. 2.22.Comment: 14 page
This thesis contributes to the explicit classification of Fano and Calabi-Yau varieties. First, ...
Abstract. We construct 4 different families of smooth Fano fourfolds with Picard rank 1, which conta...
Building on the work of Casagrande–Codogni–Fanelli, we develop our study on the birational geometry...
This thesis is devoted to the study of the geometry of complex projective manifolds with positive an...
In toric geometry, Fano varieties correspond to certain lattice polytopes, whose lattice points dete...
We construct $S$-linear semiorthogonal decompositions of derived categories of smooth Fano threefold...
We find at least 527 new four-dimensional Fano manifolds, each of which is a complete intersection i...
Fano polytopes are the convex-geometric objects corresponding to toric Fano varieties. We give a bri...
This thesis is about Fano varieties and their properties. We will determine the K-stability of cert...
This thesis investigates cubic hypersurfaces and their Fano schemes. After introducing the Fano sche...
We prove the Shafarevich conjecture for Fano threefolds of Picard rank 1, index 1 and degree 4
We classify Sarkisov links from index 1 Fano 3-folds anticanonically embedded in codimension 4 that ...
An inductive approach to classifying toric Fano varieties is given. As an application of this techni...
There are 105 irreducible families of smooth Fano threefolds, which have been classified by Iskovski...
We find all K-stable smooth Fano threefolds in the family No. 2.22.Comment: 14 page
This thesis contributes to the explicit classification of Fano and Calabi-Yau varieties. First, ...
Abstract. We construct 4 different families of smooth Fano fourfolds with Picard rank 1, which conta...
Building on the work of Casagrande–Codogni–Fanelli, we develop our study on the birational geometry...
This thesis is devoted to the study of the geometry of complex projective manifolds with positive an...
In toric geometry, Fano varieties correspond to certain lattice polytopes, whose lattice points dete...
We construct $S$-linear semiorthogonal decompositions of derived categories of smooth Fano threefold...
We find at least 527 new four-dimensional Fano manifolds, each of which is a complete intersection i...
Fano polytopes are the convex-geometric objects corresponding to toric Fano varieties. We give a bri...
This thesis is about Fano varieties and their properties. We will determine the K-stability of cert...
This thesis investigates cubic hypersurfaces and their Fano schemes. After introducing the Fano sche...
We prove the Shafarevich conjecture for Fano threefolds of Picard rank 1, index 1 and degree 4
We classify Sarkisov links from index 1 Fano 3-folds anticanonically embedded in codimension 4 that ...
An inductive approach to classifying toric Fano varieties is given. As an application of this techni...
There are 105 irreducible families of smooth Fano threefolds, which have been classified by Iskovski...
We find all K-stable smooth Fano threefolds in the family No. 2.22.Comment: 14 page
This thesis contributes to the explicit classification of Fano and Calabi-Yau varieties. First, ...
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