output
19922026
most citedThe World of the Complex Ginzburg-Landau Equation

2k citations

Showing 2003 · math.AGShow all

6 papers · 2 filters

math.AG2003

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…

math.AG2003★ 33 cited

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…

math.AG2003

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…

math.AG2003

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…

math.AG2003

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…

math.AG2003

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.