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19922026
most citedThe World of the Complex Ginzburg-Landau Equation

2k citations

Showing 2006 · math.AGShow all

11 papers · 2 filters

math.AG2006★ 4 cited

Almost del Pezzo manifolds

Priska Jahnke, Thomas Peternell

We classify almost del Pezzo manifolds in arbitrary dimension n, i.e., projective manifolds X with big and nef anticanonical bundle -K_X, such that -K_X is divisible by n-1.

math.AG2006★ 2 cited

Double Kodaira fibrations

Fabrizio Catanese, Soenke Rollenske

The existence of a Kodaira fibration, i.e., of a fibration of a compact complex surface onto a complex curve which is a differentiable but not a holomorphic bundle, forces…

math.AG2006★ 20 cited

The classification of surfaces with p_g = q = 0 isogenous to a product of curves

Ingrid Bauer, Fabrizio Catanese, Fritz Grunewald

We classify all the surfaces with p_g = q = 0 which admit an unramified covering which is isomorphic to a product of curves. Beyond the trivial case \PP^1 x \PP^1 we find 17 famili…

math.AG2006★ 22 cited

Fundamental Groups of Spaces of Smooth Projective Hypersurfaces

Michael Lönne

We investigate the complement of the discriminant in the projective space PSym^d C^{n+1} of polynomials defining hypersurfaces of degree d in P^n. Following the ideas of Zariski we…

math.AG2006

Canonical symplectic structures and deformations of algebraic surfaces

Fabrizio Catanese

We show that a minimal surface of general type has a canonical symplectic structure (unique up to symplectomorphism) which is invariant for smooth deformation. We show that the sym…

math.AG2006★ 1 cited

A volume maximizing canonical surface in 3-space

Ingrid Bauer, Fabrizio Catanese

Answering a question posed by Enriques, we construct a minimal smooth algebraic surface of general type over the complex numbers with and , and with biratio…

math.AG2006

Chebycheff and Belyi polynomials, dessins d'enfants, Beauville surfaces and group theory

Ingrid Bauer, Fabrizio Catanese, Fritz Grunewald

We start discussing the group of automorphisms of the field of complex numbers, and describe, in the special case of polynomials with only two critical values, Grothendieck's progr…

math.AG2006★ 2 cited

Surfaces with K^2=8, p_g=4 and canonical involution

Ingrid Bauer, Roberto Pignatelli

In this paper we classify completely all regular minimal surfaces with K^2=8, p_g=4 whose canonical map is composed with an involution. We obtain six unirational families of respec…

math.AG2006

Complex surfaces of general type: some recent progress

Ingrid Bauer, Fabrizio Catanese, Roberto Pignatelli

Chapters : Old and new inequalities; Surfaces with and the bicanonical map; Surfaces with ; Surfaces isogeneous to a product, Beauville surfaces and the absolute Galoi…

math.AG2006★ 4 cited

Surface classification and local and global fundamental groups, I

Fabrizio Catanese

Given a smooth complex surface S, and a compact connected global normal crossings divisor , we consider the local fundamental group, i.e., the fundamental group Gam…

math.AG2006★ 7 cited

Terminal Fano threefolds and their smoothings

Priska Jahnke, Ivo Radloff

We study smoothings of Fano threefolds. We prove that the Picard number remains constant in the case of terminal Gorenstein singularities.