Algebraic cycles and Todorov surfaces.

Motivated by the Bloch-Beilinson conjectures, Voisin has formulated a conjecture about 0-cycles on self-products of surfaces of geometric genus one. We verify Voisin's conjecture for the family of Todorov surfaces with K2 = 2 and fundamental group Z/2Z.As a by-product,we prove that certainTodorov surfaces have finite-dimensional motive. [ABSTRACT FROM AUTHOR]