7 citations · 15 across the 12 of their papers we have counts for
16 papers · 1 filter
Cohomologically or numerically trivial automorphisms of surfaces of general type
Fabrizio Catanese, Davide Frapporti
Our main result is the determination of the respective groups of cohomologically trivial automorphisms and of numerically trivial automo…
Pluricanonical Geometry of Varieties Isogenous to a Product and Abelian Covers
Massimiliano Alessandro, Davide Frapporti, Christian Gleissner
We study canonical and pluricanonical maps of varieties isogenous to a product of curves, i.e., quotients of the form with and $…
On the cohomologically trivial automorphisms of elliptic surfaces I:
Fabrizio Catanese, Davide Frapporti, Christian Gleissner +2
In this first part we describe the group of cohomologically trivial automorphisms of a properly elliptic surface (a minimal surface with Kodaira dimension…
Varieties of Nodal surfaces, coding theory and Discriminants of cubic hypersurfaces. Part 1: Generalities and nodal K3 surfaces. Part 2: Cubic Hypersurfaces, associated discriminants. Part 3: Nodal quintics. Part 4: Nodal sextics
Fabrizio Catanese, in collaboration with Yonghwa Cho, Stephen Coughlan +4
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 nod…
Rigid Manifolds of general type with non-contractible universal cover
Davide Frapporti, Christian Gleissner
For each we give examples of infinitesimally rigid projective manifolds of general type of dimension with non-contractible universal cover. We provide examples with p…
On the minimal model of semi-isogenous mixed surfaces
Davide Frapporti
The aim of this paper is to determine minimal models of the semi-isogenous mixed surfaces with and constructed by Cancian and Frapporti (Math. Nachr., 291(2-3): 264-2…
Divisors on surfaces isogenous to a product of mixed type with
Davide Frapporti, Kyoung-Seog Lee
In this paper, we study effective, nef and semiample cones of surfaces isogenous to a product of mixed type with . In particular, we prove that all reducible fake quadrics a…
A family of threefolds of general type with canonical map of high degree
Davide Frapporti, Christian Gleissner
In this note we provide a two-dimensional family of smooth minimal threefolds of general type with canonical map of degree 96, improving the previous known bound of 72.
On Semi-isogenous mixed surfaces
Nicola Cancian, Davide Frapporti
Let be a smooth projective curve and a finite subgroup of whose action is \textit{mixed}, i.e.~there are elements in exchanging t…
On Threefolds Isogenous to a Product of Curves
Davide Frapporti, Christian Gleissner
A threefold isogenous to a product of curves is a quotient of a product of three compact Riemann surfaces of genus at least two by the free action of a finite group. In this pa…
Generalized Burniat type surfaces and Bagnera-de Franchis varieties
Ingrid Bauer, Fabrizio Catanese, Davide Frapporti
In this article we construct three new families of surfaces of general type with p_g = q = 0,K^2 = 6, and seven new families of surfaces of general type with p_g = q = 1, K^2 = 6,…
Bloch's conjecture for Generalized Burniat Type surfaces with
Ingrid Bauer, Davide Frapporti
The aim of this article is to prove Bloch's conjecture, asserting that the group of rational equivalence classes of zero cycles of degree 0 is trivial for surfaces with geometric g…
The fundamental group and torsion group of Beauville surfaces
Ingrid Bauer, Fabrizio Catanese, Davide Frapporti
We give a survey on the fundamental group of surfaces isogenous to a higher product. If the surfaces are regular, e.g. if they are Beauville surfaces, the first homology group is a…
Mixed quasi-étale quotients with arbitrary singularities
Davide Frapporti, Roberto Pignatelli
A mixed quasi-étale quotient is the quotient of the product of a curve of genus at least 2 with itself by the action of a group which exchanges the two factors and acts freely out…
Mixed quasi-étale surfaces, new surfaces of general type with and their fundamental group
Davide Frapporti
We call a projective surface mixed quasi-étale quotient if there exists a curve of genus and a finite group that acts on exchanging the factors…
On the non-existence of orthogonal instanton bundles on P^(2N+1)
Lucja Farnik, Davide Frapporti, Simone Marchesi
In this paper we prove that there do not exist orthogonal instanton bundles on P^(2n+1) . In order to demonstrate this fact, we propose a new way of representing the invariant, int…