A remark on the Chow ring of Sicilian surfaces

Abstract

We propose a "Bloch type" conjecture for surfaces: if the cup product map in coherent cohomology is zero, then all intersections of homologically trivial divisors should be zero in the Chow group of zero-cycles. We prove this conjecture for Sicilian surfaces.

arXiv commentTo appear in Comment. Math. Univ. St. Pauli, 9 pages