Zobrazeno 1 - 10
of 40
pro vyhledávání: '"Boissiere, Samuel"'
We introduce logarithmic Enriques varieties as a singular analogue of Enriques manifolds, generalizing the notion of log-Enriques surfaces introduced by Zhang. We focus then on the properties of the subfamily of log-Enriques varieties that admit a qu
Externí odkaz:
http://arxiv.org/abs/2409.09160
We study the symplectic resolution of the Fano variety of lines on some singular cyclic cubic fourfolds, i.e. cubic fourfolds arising as cyclic 3:1 cover of $\mathbb{P}^4$ branched along a cubic threefold. In particular we are interested in the geome
Externí odkaz:
http://arxiv.org/abs/2312.15317
We prove that the Fano variety of lines of a cuspidal cyclic cubic fourfold is a symplectic variety with transversal A2-singularities and we study the properties of the nonsymplectic order three automorphism induced by the covering automorphism on th
Externí odkaz:
http://arxiv.org/abs/2209.11022
The present paper deals with lines contained in a smooth complex cubic threefold. It is well-known that the set of lines of the second type on a cubic threefold is a curve on its Fano surface. Here we give a description of the singularities of this c
Externí odkaz:
http://arxiv.org/abs/2201.08884
Here we investigate meaningful families of vector bundles on a very general polarized $K3$ surface $(X,H)$ and on the corresponding Hyper--Kaehler variety given by the Hilbert scheme of points $X^{[k]}:= {\rm Hilb}^k(X)$, for any integer $k \geqslant
Externí odkaz:
http://arxiv.org/abs/2109.01598
Autor:
Boissière, Samuel, Floris, Enrica
Publikováno v:
Ãpijournal de Géométrie Algébrique, Volume 5 (July 12, 2021) epiga:7020
Let $G$ be a connected algebraic group. We study $G$-equivariant extremal contractions whose centre is a codimension three $G$-simply connected orbit. In the spirit of an important result by Kawakita in 2001, we prove that those contractions are weig
Externí odkaz:
http://arxiv.org/abs/2002.11016
We complete the classification of order $5$ nonsymplectic automorphisms on hyper-K\"ahler fourfolds deformation equivalent to the Hilbert square of a K3 surface. We then compute the topological Lefschetz number of natural automorphisms of generalized
Externí odkaz:
http://arxiv.org/abs/1902.01685
We investigate the interplay between the moduli spaces of ample <2>-polarized IHS manifolds of type K3^[2] and of IHS manifolds of type K3^[2] with a nonsymplectic involution with invariant lattice of rank one. In particular we geometrically describe
Externí odkaz:
http://arxiv.org/abs/1805.10481
We first prove an isomorphism between the moduli space of smooth cubic threefolds and the moduli space of hyperkaehler fourfolds of K3^{[2]}-type with a non-symplectic automorphism of order three, whose invariant lattice has rank one and is generated
Externí odkaz:
http://arxiv.org/abs/1801.00287
We describe periods of irreducible holomorphic manifolds of $K3^{[n]}$-type with a non-symplectic automorphism of prime order $p\geq 3$. These turn out to lie on complex ball quotients and we are able to give a precise characterization of when the pe
Externí odkaz:
http://arxiv.org/abs/1512.02067