Zobrazeno 1 - 10
of 58
pro vyhledávání: '"Fatighenti, Enrico"'
Autor:
Fatighenti, Enrico, Onorati, Claudio
If $X\subset\operatorname{Gr}(2,6)$ is the Fano variety of lines of a smooth cubic fourfold, then we show that the restriction to $X$ of any Schur functor of the tautological quotient bundle is modular and slope polystable. Moreover it is atomic if a
Externí odkaz:
http://arxiv.org/abs/2409.12821
In this paper, we study 170 families of quiver flag zero loci Fano fourfolds as described by Kalashnikov. We interpret those manifolds as zero loci of sections of homogeneous vector bundles in homogeneous varieties, and we give a birational and bireg
Externí odkaz:
http://arxiv.org/abs/2406.04389
Autor:
Bernardara, Marcello, Fatighenti, Enrico, Kapustka, Grzegorz, Kapustka, Michał, Manivel, Laurent, Mongardi, Giovanni, Tanturri, Fabio
We study Fano fourfolds of K3 type with a conic bundle structure. We construct direct geometrical links between these fourfolds and hyperK\"ahler varieties. As a result we describe families of nodal surfaces that can be seen as generalisations of Kum
Externí odkaz:
http://arxiv.org/abs/2402.08528
Autor:
Fatighenti, Enrico
We exhibit examples of slope-stable and modular vector bundles on a hyperk\"ahler manifold of K3$^{[2]}$-type which move in a 20-dimensional family and study their algebraic properties. These are obtained by performing standard linear algebra constru
Externí odkaz:
http://arxiv.org/abs/2302.09025
Autor:
Fatighenti, Enrico
This is a survey paper about a selection of recent results on the geometry of a special class of Fano varieties, which are called of K3 type. The focus is mostly Hodge-theoretical, with an eye towards the multiple connections between Fano varieties o
Externí odkaz:
http://arxiv.org/abs/2206.06204
Let $S$ be the first degeneracy locus of a morphism of vector bundles corresponding to a general matrix of linear forms in $\mathbb{P}^s$. We prove that, under certain positivity conditions, its Hilbert square $\mathrm{Hilb}^2(S)$ is isomorphic to th
Externí odkaz:
http://arxiv.org/abs/2204.00437
We produce a list of 64 families of Fano fourfolds of K3 type, extracted from our database of at least 634 Fano fourfolds constructed as zero loci of general global sections of completely reducible homogeneous vector bundles on products of flag manif
Externí odkaz:
http://arxiv.org/abs/2111.13030
We consider generalized homogeneous roofs, i.e. quotients of simply connected, semisimple Lie groups by a parabolic subgroup, which admit two projective bundle structures. Given a general hyperplane section on such a variety, we consider the zero loc
Externí odkaz:
http://arxiv.org/abs/2110.10475
Publikováno v:
Mathematische Zeitschrift, volume 304, 12 (2023)
We compute the Hochschild-Kostant-Rosenberg decomposition of the Hochschild cohomology of Fano 3-folds. This is the first step in understanding the non-trivial Gerstenhaber algebra structure, and yields some initial insights in the classification of
Externí odkaz:
http://arxiv.org/abs/2104.07626
We rework the Mori-Mukai classification of Fano 3-folds, by describing each of the 105 families via biregular models as zero loci of general global sections of homogeneous vector bundles over products of Grassmannians.
Comment: Minor changes. To
Comment: Minor changes. To
Externí odkaz:
http://arxiv.org/abs/2009.13382