A simply connected numerical Godeaux surface with ample canonical class
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We prove that a recent construction of a numerical Godeaux surface due to P. Craighero and R. Gattazzo is simply connected, and show how to realize their construction as a double plane. By proving that the surface contains no (-2)-curves, we obtain that this is the first example of a simply connected surface with vanishing geometric genus and ample canonical class.
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Cited by 2 Pith papers
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Geometry of quintics in $\mathbb P^3$ and the Craighero-Gattazzo surface of general type
Studies base-point-freeness of |3K| on the Craighero-Gattazzo surface and non-rationality of normalizations of quotients from curves on singular quintics with elliptic singularities.
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Involutions on algebraic surfaces and the Generalised Bloch's conjecture
Studies the action of an involution on the Chow group of zero-cycles of a smooth projective surface in relation to the generalised Bloch's conjecture.
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