The classification of minimal product-quotient surfaces with 𝑝_{𝑔}=0

DOI10.1090/S0025-5718-2012-02604-4zbMath1306.14017arXiv1006.3209MaRDI QIDQ2840022

Roberto Pignatelli, Ingrid C. Bauer

Publication date: 17 July 2013

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.3209

zbMATH Keywords

surface of general typeproduct-quotient surface

Mathematics Subject Classification ID

Computational aspects of algebraic surfaces (14Q10) Families, moduli, classification: algebraic theory (14J10) Surfaces of general type (14J29)

Related Items (19)

\(K3\) surfaces with a non-symplectic automorphism and product-quotient surfaces with cyclic groups ⋮ MIXED QUASI-ÉTALE QUOTIENTS WITH ARBITRARY SINGULARITIES ⋮ Mixed quasi-étale surfaces, new surfaces of general type with \(p_g=0\) and their fundamental group ⋮ Some surfaces with canonical map of degree 4 ⋮ Bogomolov's inequality for product type varieties in positive characteristic ⋮ The complex ball-quotient structure of the moduli space of certain sextic curves ⋮ Quotients of the square of a curve by a mixed action, further quotients and Albanese morphisms ⋮ Exceptional collections of line bundles on the Beauville surface ⋮ Topological types of actions on curves ⋮ Examples of Mori dream surfaces of general type with \(p_{g} = 0\) ⋮ NEW EXAMPLES OF CALABI–YAU 3-FOLDS AND GENUS ZERO SURFACES ⋮ Rigid but not infinitesimally rigid compact complex manifolds ⋮ On the cohomology of surfaces with $p_g = q = 2$ and maximal Albanese dimension ⋮ Some evidence for the Coleman-Oort conjecture ⋮ Surfaces of general type with geometric genus zero: a survey ⋮ A complex surface of general type with 𝑝_{𝑔}=0, 𝐾²=2 and 𝐻₁=ℤ/4ℤ ⋮ The Fundamental Group and Torsion Group of Beauville Surfaces ⋮ On Quasi-Étale Quotients of a Product of Two Curves ⋮ Product-quotient surfaces: new invariants and algorithms

Uses Software

• Magma

Cites Work

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• Fibred surfaces, varieties isogenous to a product and related moduli spaces
• Beauville Surfaces with Abelian Beauville Group
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