Online Archive of University of Virginia Scholarship
Hurwitz trees and deformations of Artin-Schreier covers822 views
Author
Dang, Huy, Mathematics - Graduate School of Arts and Sciences, University of Virginia0000-0003-2224-704X
Advisors
Obus, Andrew, Mathematics, Baruch College
Abstract
The main focus of this thesis is equal characteristics deformations of Artin-Schreier covers (of curves). We formulate some conditions on a combinatorial object called Hurwitz tree to determine the existence of certain types of deformations of given degree p cyclic branched covers. Furthermore, by applying these Hurwitz tree criteria, we show that the moduli space of Artin-Schreier curves of fixed genus is connected when the genus is sufficiently large.
Degree
PHD (Doctor of Philosophy)
Keywords
Artin-Schreier-Witt theory; Moduli space; Characteristic p ramification; Hurwitz tree
Dang, Huy. Hurwitz trees and deformations of Artin-Schreier covers. University of Virginia, Mathematics - Graduate School of Arts and Sciences, PHD (Doctor of Philosophy), 2020-04-18, https://doi.org/10.18130/v3-m8gh-wm92.
