Zobrazeno 1 - 10
of 131
pro vyhledávání: '"Garbagnati, Alice"'
In this paper we classify all singular irreducible symplectic surfaces, i.e., compact, connected complex surfaces with canonical singularities that have a holomorphic symplectic form $\sigma$ on the smooth locus, and for which every finite quasi-\'et
Externí odkaz:
http://arxiv.org/abs/2407.21173
Autor:
Garbagnati, Alice, Salgado, Cecília
We survey our contributions on the classification of elliptic fibrations on K3 surfaces with a non-symplectic involution. We place them in the more general framework of K3 surfaces with an involution without any hypothesis on its fixed locus or on th
Externí odkaz:
http://arxiv.org/abs/2304.01383
Autor:
Garbagnati, Alice, Penegini, Matteo
A bidouble cover is a flat $G:=\left(\mathbb{Z}/2\mathbb{Z}\right)^2$-Galois cover $X \rightarrow Y$. In this situation there exist three intermediate quotients $Y_1,Y_2$ and $Y_3$ which correspond to the three subgroups $\mathbb{Z}/2\mathbb{Z} \leq
Externí odkaz:
http://arxiv.org/abs/2212.11566
A Shioda--Inose structure is a geometric construction which associates to an Abelian surface a projective K3 surface in such a way that their transcendental lattices are isometric. This geometric construction was described by Morrison by considering
Externí odkaz:
http://arxiv.org/abs/2209.10141
Autor:
Garbagnati, Alice, Penegini, Matteo
We study triple covers of K3 surfaces, following Miranda's theory of triple covers. We relate the geometry of the covering surfaces with the properties of both the branch locus and the Tschirnhausen vector bundle. In particular, we classify Galois tr
Externí odkaz:
http://arxiv.org/abs/2109.07840
Autor:
Garbagnati, Alice, Verra, Alessandro
An analogue of the Mukai map $m_g: \mathcal P_g \to \mathcal M_g$ is studied for the moduli $\mathcal R_{g, \ell}$ of genus $g$ curves $C$ with a level $\ell$ structure. Let $\mathcal P^{\perp}_{g, \ell}$ be the moduli space of $4$-tuples $(S, \mathc
Externí odkaz:
http://arxiv.org/abs/2108.12215
Publikováno v:
Alg. Number Th. 18 (2024) 165-208
We study projective fourfolds of $K3^{[2]}$-type with a symplectic involution and the deformations of their quotients, called orbifolds of Nikulin types; they are IHS orbifolds. We compute the Riemann--Roch formula for Weil divisors on such orbifolds
Externí odkaz:
http://arxiv.org/abs/2104.09234
Publikováno v:
Math. Z. 301 (2022), 225--253
The aim of this paper is to generalize results known for the symplectic involutions on K3 surfaces to the order 3 symplectic automorphisms on K3 surfaces. In particular, we will explicitly describe the action induced on the lattice $\Lambda_{K3}$, is
Externí odkaz:
http://arxiv.org/abs/2102.01207
Fields of definition of elliptic fibrations on covers of certain extremal rational elliptic surfaces
Autor:
Cantoral-Farfán, Victoria, Garbagnati, Alice, Salgado, Cecília, Trbović, Antonela, Winter, Rosa
We study K3 surfaces over a number field $k$ which are double covers of extremal rational elliptic surfaces. We provide a list of all elliptic fibrations on certain K3 surfaces together with the degree of a field extension over which each genus one f
Externí odkaz:
http://arxiv.org/abs/2007.14043
Autor:
Garbagnati, Alice
We discuss the birational geometry and the Kodaira dimension of certain varieties previously constructed by Schreieder, proving that in any dimension they admit an elliptic fibration and they are not of general type. The $l$-dimensional variety $Y_n^
Externí odkaz:
http://arxiv.org/abs/2001.11452