On hyper-symmetric abelian varieties

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On hyper-symmetric abelian varieties

Ying Zong-2008-01-01-Scholarly Commons (University of Pennsylvania)

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Abstract. Motivated by Oort’s Hecke-orbit conjecture, Chai introduced hyper-symmetric points in the study of fine structures of modular varieties in positive characteristics. We prove a necessary and sufficient condition to determine which Newton polygon stratum of PEL-type contains at least one such point. 1.

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Abstract. Motivated by Oort’s Hecke-orbit conjecture, Chai introduced hyper-symmetric points in the study of fine structures of modular varieties in positive characteristics. We prove a necessary and sufficient condition to determine which Newton polygon stratum of PEL-type contains at least one such point. 1.

Keywords

ConjectureMathematicsPolygon (computer graphics)Orbit (dynamics)Pure mathematicsAbelian groupStratumComputer science

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