BLOCH'S CONJECTURE FOR CATANESE AND BARLOW SURFACES
By Claire Voisin. 2012
87 citations recorded by the source corpus.
Catanese surfaces are regular surfaces of general type with pg = 0. They specialize to double covers of Barlow surfaces. We prove that the CH0 group of a Catanese surface is equal to Z, which implies the same result for the Barlow surfaces.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/3ee76fca544c83f9dbd3abc5a09286503a1ed5e3
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- D. Huybrechts
- Claire Voisin
- Kieran G. O’Grady
- E. Markman
- G. Farkas
- Justin Sawon
- M. Aprodu
- A. Rapagnetta
In Geometry and Topology
- D. Huybrechts
- Claire Voisin
- Kieran G. O’Grady
- E. Markman
- P. Stellari
- Ulrike Riess
- G. Farkas
- Emanuele Macrì
Citations in the corpus
- Curves and cycles on K3 surfaces (2013, methodology): “8.1 by considering the family of all quartics X /|O/ (4)|. Either one uses the explicit description for the Chow ring of CH∗(X) by viewing X as a projective bundle over P3 or a technique developed in [Vo12a] which only uses that X is rationally connected. 8.3. Consider now the curve of hyperflexes Dh”
- Universal Unramified Cohomology of Cubic Fourfolds Containing a Plane (2013, unknown): “See also the recent paper [58].”
- The Generalized Hodge and Bloch Conjectures are Equivalent for General Complete Intersections, II (2011, background): “They have been improved later on for families of surfaces in [14], where the geometric setting is much more general: instead of the universal family of complete intersection surfaces in some X, we consider any family of smooth projective surfaces S → B satisfying the condition that S ×B S → B has a ”
- Chow Rings, Decomposition of the Diagonal, and the Topology of Families (2014, background): “These improvements have been worked out in [109] which we follow closely.”