On equations of double planes with $p_g=q=1$

DOI10.1090/S0025-5718-09-02283-2zbMath1198.14038arXiv0804.2227MaRDI QIDQ3584819

Carlos Rito

Publication date: 30 August 2010

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

Full work available at URL: https://arxiv.org/abs/0804.2227

zbMATH Keywords

singularitiesbranch curves\texttt{MAGMA}double planes

Mathematics Subject Classification ID

Computational aspects of algebraic curves (14Q05) Surfaces of general type (14J29)

Related Items (6)

Involutions on surfaces with \(p_g = q = 1\) ⋮ MIXED QUASI-ÉTALE QUOTIENTS WITH ARBITRARY SINGULARITIES ⋮ 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 ⋮ Surfaces with \(p_g=q=1\), \(K^2=7\) and non-birational bicanonical maps ⋮ Algebraic surfaces with p_g = q = 1,K² = 4 and nonhyperelliptic Albanese fibrations of genus 4

Uses Software

• Magma

Cites Work

• 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 \(K^{2} = 4\)
• Surfaces fibrées en courbes de genre deux
• The Magma algebra system. I: The user language
• On surfaces of general type with \(p_g=q=1\), \(K^2=3\)
• On surfaces with p_g=q=2 and non-birational bicanonical maps
• Degree of the Bicanonical Map of a Surface of General Type
• Fibrations of low genus, I
• On Surfaces of General Type withp_g = q = 1 Isogenous to a Product of Curves
• 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
• On Surfaces Whose Canonical System is Hyperelliptic
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