English

Higher Abel-Jacobi maps for 0-cycles

Algebraic Geometry 2007-05-23 v2 Differential Geometry

Abstract

Starting from the candidate Bloch-Beilinson filtration on Chow groups of 0-cycles constructed by J. Lewis, we develop and describe geometrically a series of Hodge-theoretic invariants defined on the graded pieces. Explicit formulas (in terms of currents and membrane integrals) are given for certain quotients of the invariants, with applications to 0-cycles on products of curves.

Keywords

Cite

@article{arxiv.math/0504086,
  title  = {Higher Abel-Jacobi maps for 0-cycles},
  author = {Matt Kerr},
  journal= {arXiv preprint arXiv:math/0504086},
  year   = {2007}
}

Comments

58 pages, 1 figure; new section 16