A bound for the orders of the torsion groups of surfaces with \(c_1^2 = 2\chi-1\)

DOI10.1007/s00209-005-0896-4zbMath1097.14032OpenAlexW2035404611MaRDI QIDQ2491124

Masaaki Murakami

Publication date: 26 May 2006

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-005-0896-4

zbMATH Keywords

torsionsurfaces of general typealgebraic fundamental groupsmall invariantsétale covers

Mathematics Subject Classification ID

Families, moduli, classification: algebraic theory (14J10) Surfaces of general type (14J29) Compact complex surfaces (32J15)

Related Items (3)

Remarks on surfaces with \(c_1^2 =2\chi -1\) having non-trivial 2-torsion ⋮ Surfaces with χ = 5,K² = 9 and a canonical involution ⋮ Surfaces of general type with \({K^2}={2\chi}-{1}\)

Cites Work

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• On deformations of quintic surfaces
• Tricanonical maps of numerical Godeaux surfaces
• Algebraic surfaces of general type with small \(c^2_1\). I
• Algebraic surfaces of general type with small \(c^2_1\). II
• Algebraic surfaces of general type with small \(c^2_1\). III
• Algebraic surfaces of general type with small \(c^2_1\). IV
• On surfaces of general type with \(K^2 = 2\chi-2\) and nontrivial torsion
• Hyperelliptic surfaces of general type with \(K^ 2<4\chi\)
• Minimal algebraic surfaces of general type with \(c_1^2=3\), \(p_g=1\) and \(q=0\), which have non-trivial 3-torsion divisors
• Canonical models of surfaces of general type
• On rational surfaces I. Irreducible curves of arithmetic genus $0$ or $1$

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