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.
A simply connected numerical Godeaux surface with ample canonical class
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
abstract
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.
fields
math.AG 2years
2019 2verdicts
UNVERDICTED 2representative citing papers
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.
citing papers explorer
-
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.
-
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.