Non-normal abelian covers

DOI10.1112/S0010437X11007482zbMath1263.14016arXiv1102.4184MaRDI QIDQ3143222

Rita Pardini, Valery Alexeev

Publication date: 29 November 2012

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.4184

zbMATH Keywords

moduli spacessurfaces of general type\(S_2\) varietiesnon-normal abelian covers

Mathematics Subject Classification ID

Singularities of surfaces or higher-dimensional varieties (14J17) Coverings in algebraic geometry (14E20)

Related Items (13)

\(\mathbb{Z}_2^2\)-actions on Horikawa surfaces ⋮ Godeaux Surfaces with an Enriques Involution and Some Stable Degenerations ⋮ Some infinite sequences of canonical covers of degree 2 ⋮ Gorenstein stable surfaces with KX2=1 and χ(OX)=2 ⋮ Geography of minimal surfaces of general type with Z22$\mathbb {Z}_2^2$‐actions and the locus of Gorenstein stable surfaces ⋮ Some algebraic surfaces with canonical map of degree 10, 12, 14 ⋮ Unimodal singularities and boundary divisors in the KSBA moduli of a class of Horikawa surfaces ⋮ Gorenstein stable surfaces with KX2=1 and pg>0 ⋮ Maps of Mori dream spaces ⋮ A new example of an algebraic surface with canonical map of degree 16 ⋮ The KSBA compactification of the moduli space of \(D_{1,6}\)-polarized Enriques surfaces ⋮ KSBA compactification of the moduli space of K3 surfaces with a purely non-symplectic automorphism of order four ⋮ Gorenstein stable surfaces with $K_X^2 = 2$ and $\chi(\mathcal O_X) = 4$

Cites Work

• Local structure of abelian covers
• Threefolds and deformations of surface singularities
• Automorphisms and moduli spaces of varieties with ample canonical class via deformations of abelian covers

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