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most citedLocalization of Matter Waves in 2D-Disordered Optical Potentials

100 citations

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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

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.

math.AG2007

Compact Manifolds Covered by a Torus

Jean-Pierre Demailly, Jun-Muk Hwang, Thomas Peternell

Let be a connected compact complex manifold admitting a finite surjective map from a complex torus We prove that up to finite étale cover, is a product of pr…

math.AG2007★ 18 cited

The absolute Galois group acts faithfully on the connected components of the moduli space of surfaces of general type

Ingrid Bauer, Fabrizio Catanese, Fritz Grunewald

We show that the Galois group $Gal(\bar{\Q} /\Q)$ operates faithfully on the set of connected components of the moduli spaces of surfaces of general type, and also that for each el…

math.AG2007

A remarkable moduli space of rank 6 vector bundles related to cubic surfaces

Fabrizio Catanese, Fabio Tonoli

We study the moduli space $\fM^s(6;3,6,4)$ of simple rank 6 vector bundles $\E$ on $\PP^3$ with Chern polynomial and properties of these bundles, especially we pro…