Dipartimento di Matematica, Aula Magna.<\/p>\n
We investigate the integral Tate conjecture for 1-cycles on the product of a curve and a surface over a finite field, under the assumption that the surface is geometrically $\\mathsf{CH}_0$-trivial. By this we mean that over any algebraically closed field extension, the degree map on zero-dimensional Chow group of the surface is an isomorphism. This applies to Enriques surfaces. When the N\u00e9ron-Severi group has no torsion, we recover earlier results of A. Pirutka. This is joint work with Federico Scavia.<\/p>\n
Further information is available on the event page<\/a> on the Indico platform.<\/p>\n","protected":false},"excerpt":{"rendered":" We investigate the integral Tate conjecture for 1-cycles on the product of a curve and a surface over a finite field, under the assumption that the surface is geometrically $\\mathsf{CH}_0$-trivial. By this we mean that over any algebraically closed…<\/p>\n