364 citations
- Centre National de la Recherche ScientifiqueFR13 papers
- University of StuttgartDE11 papers
- Taras Shevchenko National University of KyivUA10 papers
- Bogolyubov Institute for Theoretical PhysicsUA8 papers
- University of TrentoIT8 papers
- Heinrich Heine University DüsseldorfDE6 papers
- Laboratoire Kastler BrosselFR5 papers
- University of KonstanzDE5 papers
- University of SiegenDE5 papers
- Friedrich-Alexander-Universität Erlangen-NürnbergDE4 papers
- Helmholtz-Zentrum Berlin für Materialien und EnergieDE4 papers
- Max Planck SocietyDE4 papers
7 papers · 2 filters
Burniat surfaces III: deformations of automorphisms and extended Burniat surfaces
Ingrid Bauer, Fabrizio Catanese
We continue our investigation of the connected components of the moduli space of surfaces of general type containing the Burniat surfaces, correcting a mistake in part II. We defin…
Irreducibility of the space of cyclic covers of algebraic curves of fixed numerical type and the irreducible components of
Fabrizio Catanese
We prove irreducibility for the space of cyclic covers of fixed numerical type between smooth projective curves, and also for the space of cyclic covers of prime order and of fixed…
Determinantal quartics and the computation of the Picard group
Andreas-Stephan Elsenhans, Jörg Jahnel
We test the methods for computing the Picard group of a surface in a situation of high rank. The examples chosen are resolutions of quartics in $\bP^3$ having 14 singularities…
The Picard group of a surface and its reduction modulo
Andreas-Stephan Elsenhans, Jörg Jahnel
We present a method to compute the geometric Picard rank of a surface over . Contrary to a widely held belief, we show it is possible to verify Picard rank using red…
The classification of minimal product-quotient surfaces with
Ingrid Bauer, Roberto Pignatelli
A product-quotient surface is the minimal resolution of the singularities of the quotient of a product of two curves by the action of a finite group acting separately on the two fa…
Surfaces of general type with geometric genus zero: a survey
Ingrid Bauer, Fabrizio Catanese, Roberto Pignatelli
In the last years there have been several new constructions of surfaces of general type with , and important progress on their classification. The present paper presents the…