Cycle classes on the moduli of K3 surfaces in positive characteristic
Algebraic Geometry
2015-03-19 v2
Abstract
This paper provides explicit closed formulas in terms of tautological classes for the cycle classes of the height and Artin invariant strata in families of K3 surfaces. The proof is uniform for all strata and uses a flag space as the computations in [arXiv:math/0412272] for the Ekedahl-Oort strata for families of abelian varieties, but employs a Pieri formula formula to determine the push down to the base space.
Keywords
Cite
@article{arxiv.1104.3024,
title = {Cycle classes on the moduli of K3 surfaces in positive characteristic},
author = {Torsten Ekedahl and Gerard van der Geer},
journal= {arXiv preprint arXiv:1104.3024},
year = {2015}
}
Comments
34 pages, latex; version revised by second author; to appear in Selecta Math