33 citations · 107 across the 19 of their papers we have counts for
5 papers · 1 filter
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…
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.