Cycle Classes on the Moduli of K3 surfaces in positive characteristic

Details Cycle Classes on the Moduli of K3 surfaces in positive characteristic Cycle Classes on the Moduli of K3 surfaces in positive characteristic

2011-04-15

arxiv.org/abs/1104.3024v1

Mathematics

Algebraic Geometry

32 pages, latex

Scientific paper

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.

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