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19922026
most citedThe World of the Complex Ginzburg-Landau Equation

2k citations

Showing 2008 · math.AGShow all

7 papers · 2 filters

math.AG2008★ 2 cited

Algebraic Surfaces and their Moduli Spaces: Real, Differentiable and Symplectic Structures

Fabrizio Catanese

The article surveys published and not yet published results about moduli spaces of algebraic surfaces.

math.AG2008★ 1 cited

On varieties whose universal cover is a product of curves

Fabrizio Catanese, Marco Franciosi

We investigate a necessary condition for a compact complex manifold X of dimension n in order that its universal cover be the Cartesian product of a curve $C = \PP^1 or \HH$:…

math.AG2008★ 23 cited

Quotients of products of curves, new surfaces with and their fundamental groups

Ingrid Bauer, Fabrizio Catanese, Fritz Grunewald +1

The first main purpose of this paper is to contribute to the existing knowledge about the complex projective surfaces of general type with and their moduli spaces,…

math.AG2008

The rationality of certain moduli spaces of curves of genus 3

Ingrid Bauer, Fabrizio Catanese

We show, for each algebraically closed field, the rationality of the following two moduli spaces: M(3,3) parametrizing pairs (C, η) where C has genus 3 and ηis a 3-torsion divisor…

math.AG2008

A characterization of surfaces whose universal cover is the bidisk

Fabrizio Catanese, Marco Franciosi

We show that the universal cover of a compact complex surface is the bidisk $\HH \times \HH$, or is biholomorphic to $\PP^1 \times \PP^1$, if and only if and th…

math.AG2008★ 2 cited

Real singular Del Pezzo surfaces and 3-folds fibred by rational curves, II

Fabrizio Catanese, Frederic Mangolte

Let W -> X be a real smooth projective 3-fold fibred by rational curves. J. Kollár proved that, if W(R) is orientable, then a connected component N of W(R) is essentially either a…

math.AG2008

A Characterization of Jacobians by the Existence of Picard Bundles

Ana Cristina López Martín, Ernesto Carlo Mistretta, Darío Sánchez Gómez

Based on the Matsusaka-Ran criterion we give a criterion to characterize when a principal polarized abelian variety is a Jacobian by the existence of Picard bundles.