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Journal of Algebraic Geometry

Journal of Algebraic Geometry

Online ISSN 1534-7486; Print ISSN 1056-3911



Ekedahl-Oort strata and the first Newton slope strata

Author: Shushi Harashita
Journal: J. Algebraic Geom. 16 (2007), 171-199
Published electronically: September 26, 2006
MathSciNet review: 2257323
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Abstract: We investigate stratifications on the moduli space $\mathcal {A}_g$ of principally polarized abelian varieties of dimension $g$ in characteristic $p>0$. In this paper we give an easy algorithm determining the first Newton slope of any generic point of each Ekedahl-Oort stratum.

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Shushi Harashita
Affiliation: Department of Mathematics, Hokkaido University Kita 10, Nishi 8, Kita-Ku, Sapporo, Hokkaido, 060-0810, Japan

Received by editor(s): August 22, 2005
Received by editor(s) in revised form: January 12, 2006, and February 20, 2006
Published electronically: September 26, 2006