A theorem on zero cycles on surfaces

Rina Paucar R. (1) , Claudia Schoemann (2)

1 Universidad Nacional de Ingeneria
2 GAATI - Laboratoire de Géométrie Algébrique et Applications à la Théorie de l'Information

In this paper we prove a result on 0-cycles on surfaces as an application of the theorem on the kernel of the Gysin homomorphism of Chow groups of 0-cycles of degree zero induced by the embedding of a curve into a surface, and we study the connection of this result with Bloch’s conjecture and constant cycles curves.

Domaines: Géométrie algébrique [math.AG]

Rina Paucar R., Claudia Schoemann. A theorem on zero cycles on surfaces. Selecciones Matemáticas, 2022, 9 (01), pp.161-166. ⟨10.17268/sel.mat.2022.01.13⟩. ⟨hal-03835625⟩