238 citations
- University of StuttgartDE11 papers
- Centre National de la Recherche ScientifiqueFR10 papers
- Taras Shevchenko National University of KyivUA10 papers
- Bogolyubov Institute for Theoretical PhysicsUA8 papers
- University of TrentoIT7 papers
- Heinrich Heine University DüsseldorfDE5 papers
- Laboratoire Kastler BrosselFR5 papers
- University of KonstanzDE5 papers
- University of SiegenDE5 papers
- Friedrich-Alexander-Universität Erlangen-NürnbergDE4 papers
- Helmholtz-Zentrum Berlin für Materialien und EnergieDE4 papers
- Sorbonne UniversitéFR4 papers
6 papers · 2 filters
Symmetry and Variation of Hodge Structures
Ingrid C. Bauer, Fabrizio M. E. Catanese
The main problem addressed in the paper is the Torelli problem for n-dimensional varieties of general type, more specifically for varieties with ample canonical bundle. It asks und…
Some new surfaces with
Ingrid C. Bauer, Fabrizio M. E. Catanese
Motivated by a question by D. Mumford : can a computer classify all surfaces with ? we try to show the complexity of the problem. We restrict it to the classification of…
Deformations in the large of some complex manifolds, I
Fabrizio Catanese
Main topic of the paper is the determination, for a compact complex manifold , of the class of manifolds which are deformation equivalent to it. If is a complex torus, t…
Fibred K"ahler and quasi-projective Groups
Fabrizio Catanese
We formulate a new theorem giving several necessary and sufficient conditions in order that a surjection of the fundamental group of a compact Kähler manifold onto the fun…
Holomorphic maps onto varieties of non-negative Kodaira dimension
Jun-Muk Hwang, Stefan Kebekus, Thomas Peternell
A classical result in complex geometry says that the automorphism group of a manifold of general type is discrete. It is more generally true that there are only finitely many surje…
From Abel's heritage: transcendental objects in algebraic geometry and their algebrization
Fabrizio Catanese
A mixture of an historical article, and of a survey of recent developments, containing also a couple of new results.