Bicanonical map of surfaces with χ = 1 fibered by hyperelliptic curves of genus 3

DOI10.1515/ADVGEOM.2009.035zbMath1186.14040OpenAlexW2105371779MaRDI QIDQ3405592

Giuseppe Borrelli

Publication date: 10 February 2010

Published in: advg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/advgeom.2009.035

zbMATH Keywords

bicanonical maphyperelliptic involutiongenus 3 fibrationsnon birational bicanonical mapsurfaces of general type with \(\chi=1\)

Mathematics Subject Classification ID

Fibrations, degenerations in algebraic geometry (14D06) Surfaces of general type (14J29)

Related Items (1)

Surfaces with \(p_{g } = q = 1, K^{2} = 8\) and nonbirational bicanonical map

Cites Work

• Curves on generic Kummer varieties
• Standard isotrivial fibrations with \(p_g=q=1\)
• Vector bundles of rank 2 and linear systems on algebraic surfaces
• L'application canonique pour les surfaces de type général
• The classification of double planes of general type with \(K^{2}=8\) and \(p_{g}=0\).
• Numerical Burniat and irregular surfaces
• Surfaces of general type with \(p_g=0\), \(K^2=6\) and non birational bicanonical map
• THE BICANONICAL MAP OF SURFACES WITH p_g = 0 AND K² [ges 7]
• Numerical Godeaux surfaces with an involution
• π₁ OF ELLIPTIC AND HYPERELLIPTIC SURFACES
• THE BICANONICAL MAP OF SURFACES WITH $p_g = 0$ AND $K^2 \geqslant 7$, II
• Surfaces of general type with 𝑝_{𝑔}=𝑞=1,𝐾²=8 and bicanonical map of degree 2
• A connected component of the moduli space of surfaces with \(p_g=0\).

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