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Cycles on the Moduli Space of Abelian Varieties
In this paper a number of results on cycles on the moduli space of
principally polarized abelian varieties is presented. Results include a
determination of the tautological ring, bounds on the order of torsion of the
top Chern class and a determination of the cycle classes of the
Ekedahl-Oort stratification in characteristic . It includes as special cases
formulas for the classes of loci like the -rank locus or the
-number -locus. The results on the tautological ring are my own
work, the results on the torsion of and on the cycle classes of the
Ekedahl-Oort stratification are joint work with Torsten Ekedahl and some of the
results on curves are joint work with Carel Faber.Comment: Plain TeX, 22 pages; an erroneous lemma correcte
Discussion of ``2004 IMS Medallion Lecture: Local Rademacher complexities and oracle inequalities in risk minimization'' by V. Koltchinskii
Discussion of ``2004 IMS Medallion Lecture: Local Rademacher complexities and
oracle inequalities in risk minimization'' by V. Koltchinskii [arXiv:0708.0083]Comment: Published at http://dx.doi.org/10.1214/009053606000001073 in the
Annals of Statistics (http://www.imstat.org/aos/) by the Institute of
Mathematical Statistics (http://www.imstat.org
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