Zobrazeno 1 - 10
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pro vyhledávání: '"Catanese, Fabrizio"'
In this first part we describe the group $Aut_{\mathbb{Z}}(S)$ of cohomologically trivial automorphisms of a properly elliptic surface (a minimal surface $S$ with Kodaira dimension $\kappa(S)=1$), in the initial case $ \chi(\mathcal{O}_S) =0$. In par
Externí odkaz:
http://arxiv.org/abs/2408.16936
Autor:
Catanese, Fabrizio
In this paper we characterize the compact orbifolds, quotients $ X = \mathcal{D} /\Gamma$ of a bounded symmetric domain $ \mathcal{D}$ of tube type by the action of a discontinuous group $\Gamma$, as those projective orbifolds with ample canonical di
Externí odkaz:
http://arxiv.org/abs/2406.03027
Autor:
Catanese, Fabrizio
In this paper we characterize the quotients $ X = T/G$ of a complex torus $T$ by the action of a finite group $G$ as the K\"ahler orbifold classifying spaces of the even Euclidean cristallographic groups $\Gamma$, and we prove other similar and stron
Externí odkaz:
http://arxiv.org/abs/2403.06044
Autor:
Catanese, Fabrizio
We first state a condition ensuring that having a birational map onto the image is an open property for families of irreducible normal non uniruled varieties. We give then some criteria to ensure general birationality for a family of rational maps, v
Externí odkaz:
http://arxiv.org/abs/2310.09548
Autor:
Catanese, Fabrizio, Sernesi, Edoardo
We consider the geometric map $ \mathfrak C$, called Cayleyan, associating to a plane cubic $E$ the adjoint of its dual curve. We show that $ \mathfrak C$ and the classical Hessian map $ \mathfrak H$ generate a free semigroup. We begin the investigat
Externí odkaz:
http://arxiv.org/abs/2309.00113
Autor:
Catanese, Fabrizio
Motivated by a general question addressed by Mario Baldassarri in 1956, we discuss characterizations of the Pseudo-Abelian Varieties introduced by Roth, and we introduce a first new notion, of Manifolds Isogenous to a k-Torus Product: the latter have
Externí odkaz:
http://arxiv.org/abs/2301.11751
Autor:
Catanese, Fabrizio, Sernesi, Edoardo
In this short note we prove two theorems, the first one is a sharpening of a result of Lange and Sernesi: the discriminant curve W of a general Abelian surface $A$ endowed with an irreducible polarization $D$ of type $(1,3)$ is an irreducible curve o
Externí odkaz:
http://arxiv.org/abs/2212.14877
We give first an easy construction of surfaces with $p_g=q=2, K^2=5$ and Albanese map of degree $3$, describing an irreducible connected component of the moduli space of surfaces of general type, which we show to be the only one of the Main Stream wi
Externí odkaz:
http://arxiv.org/abs/2212.14872
Autor:
Catanese, Fabrizio, Cho, in collaboration with Yonghwa, Coughlan, Stephen, Frapporti, Davide, Verra, Alessandro, Kiermaier, Michael, Kurz, Sascha
We attach two binary codes to a projective nodal surface (the strict code K and, for even degree d, the extended code K' ) to investigate the `Nodal Severi varieties F(d, n) of nodal surfaces in P^3 of degree d and with n nodes, and their incidence h
Externí odkaz:
http://arxiv.org/abs/2206.05492
Autor:
Catanese, Fabrizio
We describe examples showing the sharpness of Fujita's conjecture on adjoint bundles also in the general type case, and use these examples to formulate related bold conjectures on pluricanonical maps of varieties of general type.
Comment: 6 page
Comment: 6 page
Externí odkaz:
http://arxiv.org/abs/2206.05142