Summary: STRATIFICATIONS ON MODULI SPACES OF
ABELIAN VARIETIES IN POSITIVE CHARACTERISTIC
Jeffrey D. Achter
A Dissertation in Mathematics
Presented to the Faculties of the University of Pennsylvania in Partial Fulfillment
of the Requirements for the Degree of Doctor of Philosophy
Supervisor of Dissertation
Graduate Group Chairperson
JEFFREY D. ACHTER
This thesis would not have been written without Ching-Li Chai, whom I thank for pa-
tiently introducing me to abelian varieties and awaiting this work. Chia-Fu Yu has been
no less patient, and I thank him for both general discussions and technical remarks.
The University of Pennsylvania has been a warm place to learn and do mathematics. Let
me thank the faculty in general and Steve Shatz in particular for support and guidance.
I started work on this project in autumn of 1995 at Harvard University, whose hospitality
I enjoyed. I particularly benefited from conversations with Johan de Jong.