On degenerations of \(\mathbb{Z} {/} 2\)-Godeaux surfaces

DOI10.4171/RMI/1376MaRDI QIDQ2104837

Giancarlo Urzúa, Eduardo Dias, Carlos Rito

Publication date: 8 December 2022

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.08836

zbMATH Keywords

Kollár-Shepherd-Barron-Alexeev compactificationmoduli space of surfaces of general typenumerical Godeaux surfaces

Mathematics Subject Classification ID

Fibrations, degenerations in algebraic geometry (14D06) Families, moduli, classification: algebraic theory (14J10) Surfaces of general type (14J29) Special surfaces (14J25)

Uses Software

• Magma

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• KSBA surfaces with elliptic quotient singularities, \(\pi_{1}=1\), \(p_{g}=0\), and \(K^{2}=1,2\)
• A simply connected numerical Campedelli surface with an involution
• Threefolds and deformations of surface singularities
• Enriques surfaces. I
• Tricanonical maps of numerical Godeaux surfaces
• The Magma algebra system. I: The user language
• Optimal bounds for T-singularities in stable surfaces
• Construction of surfaces of general type from elliptic surfaces via \(\mathbb Q\)-Gorenstein smoothing
• A simply connected surface of general type with \(p_g=0\) and \(K^2=2\)
• Compact Moduli Spaces of Surfaces and Exceptional Vector Bundles
• EXTENDING HYPERELLIPTIC K3 SURFACES, AND GODEAUX SURFACES WITH π₁= ℤ/2
• Compact moduli spaces of surfaces of general type
• Flipping surfaces
• Identifying neighbors of stable surfaces
• Surfaces of general type with geometric genus zero: a survey
• A four-dimensional deformation of a numerical Godeaux surface
• BOUNDEDNESS AND K² FOR LOG SURFACES
• On $\boldsymbol{{\mathbb Z}/3}$-Godeaux Surfaces
• A boundary divisor in the moduli spaces of stable quintic surfaces
• The Craighero–Gattazzo surface is simply connected

This page was built for publication: On degenerations of \(\mathbb{Z} {/} 2\)-Godeaux surfaces