Involutions on surfaces with \(p_g = q = 1\)

DOI10.1007/BF03191228zbMath1198.14037arXiv0805.4513MaRDI QIDQ847031

Carlos Rito

Publication date: 11 February 2010

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

Full work available at URL: https://arxiv.org/abs/0805.4513

zbMATH Keywords

involutionsquotient surface\texttt{MAGMA}

Mathematics Subject Classification ID

Surfaces of general type (14J29) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Related Items (8)

MIXED QUASI-ÉTALE QUOTIENTS WITH ARBITRARY SINGULARITIES ⋮ Hyperelliptic surfaces with \(K^{2}<4\chi-6\) ⋮ Involutions on surfaces with \(p _{g } = q = 0\) and \(K ^{2} = 3\) ⋮ Algebraic surfaces with \(p_g =q =1\), \(K^2 =4\) and genus 3 Albanese fibration ⋮ Surfaces with \(p_g=q=1\), \(K^2=6\) and non-birational bicanonical maps ⋮ Algebraic surfaces with p_g = q = 1,K² = 4 and nonhyperelliptic Albanese fibrations of genus 4 ⋮ Algebraic surfaces of general type with \(p_g=q=1\) and genus 2 Albanese fibrations ⋮ Some bidouble planes with p_g= q = 0 and 4 ≤ K²≤ 7

Uses Software

• Magma

Cites Work

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• Standard isotrivial fibrations with \(p_g=q=1\)
• Some (big) irreducible components of the moduli space of minimal surfaces of general type with \(p_{g} = q = 1\) and \(K^{2} = 4\)
• The Magma algebra system. I: The user language
• On surfaces with p_g=q=2 and non-birational bicanonical maps
• Numerical Godeaux surfaces with an involution
• Fibrations of low genus, I
• On Surfaces of General Type withp_g = q = 1 Isogenous to a Product of Curves
• On equations of double planes with $p_g=q=1$
• The classification of surfaces of general type with nonbirational bicanonical map
• Surfaces of general type with 𝑝_{𝑔}=𝑞=1,𝐾²=8 and bicanonical map of degree 2
• Abelian covers of algebraic varieties.

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