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
DOI: https://doi.org/10.1090/S1056-3911-06-00451-6
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
Email: harasita@math.sci.hokudai.ac.jp

DOI: https://doi.org/10.1090/S1056-3911-06-00451-6
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

American Mathematical Society