Numerical Godeaux surfaces with an involution

DOI10.1090/S0002-9947-06-04110-9zbMath1124.14036arXivmath/0501551MaRDI QIDQ3420374

Alberto Calabri, Margarida Mendes Lopes, Ciro Ciliberto

Publication date: 1 February 2007

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0501551

zbMATH Keywords

involutiontorsion groupGodeaux surface

Mathematics Subject Classification ID

Surfaces of general type (14J29) Special surfaces (14J25) Automorphisms of surfaces and higher-dimensional varieties (14J50)

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Uses Software

• Maple

Cites Work

• The topology of four-dimensional manifolds
• Some new surfaces with \(p_ g=0\)
• Surfaces fibrées en courbes de genre deux
• Enriques surfaces. I
• Tricanonical maps of numerical Godeaux surfaces
• Enriques surfaces and a construction of surfaces of general type with \(p_ g=0\)
• Quintic surfaces of \(\mathbb{P}^ 3\) having a non-singular model with \(q=p_ g=0\), \(P_ 2\neq 0\)
• A surface of general type with \(p_ g= q=0\), \(K^ 2=1\)
• On the scalar curvature of Einstein manifolds
• Explicit resolutions of double point singularities of surfaces.
• The torsion group of a certain numerical Godeaux surface.
• Even sets of four nodes on rational surfaces
• A simply connected surface of general type with \(p_ g=0\)
• Branch curves for Campedelli double planes
• The index of elliptic operators. III
• A four-dimensional deformation of a numerical Godeaux surface
• THE BICANONICAL MAP OF SURFACES WITH p_g = 0 AND K² [ges 7]
• Fixed locus of an involution acting on a Godeaux surface
• Rational Surfaces with Many Nodes
• A simply connected numerical Godeaux surface with ample canonical class
• On Surfaces Whose Canonical System is Hyperelliptic
• A connected component of the moduli space of surfaces with \(p_g=0\).
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