arXiv:1104.3024 Abstract | arXiv Analytics

arXiv:1104.3024 [math.AG]Abstract References Reviews Resources

Cycle classes on the moduli of K3 surfaces in positive characteristic

Published 2011-04-15, updated 2014-05-10Version 2

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.

Comments: 34 pages, latex; version revised by second author; to appear in Selecta Math

Categories: math.AG

Subjects: 14C17, 14J28, 14H10

Keywords: k3 surfaces, cycle classes, positive characteristic, pieri formula formula, artin invariant strata

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