English

A remark on the Chow ring of Sicilian surfaces

Algebraic Geometry 2018-02-21 v1

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.

Keywords

Cite

@article{arxiv.1802.07032,
  title  = {A remark on the Chow ring of Sicilian surfaces},
  author = {Robert Laterveer},
  journal= {arXiv preprint arXiv:1802.07032},
  year   = {2018}
}

Comments

To appear in Comment. Math. Univ. St. Pauli, 9 pages