Graduate Thesis Or Dissertation

 

Semistable Modular Compactifications of Moduli Spaces of Genus One Curves Public Deposited

Downloadable Content

Download PDF
https://scholar.colorado.edu/concern/graduate_thesis_or_dissertations/mp48sc78n
Abstract
  • We clarify the definition of an infinitesimal automorphism of a log smooth curve, and show that logarithmic structure is capable of fixing the underlying infinitesimal automorphisms on a semistable curve. We then introduce the notion of an m-stable partially aligned logarithmic curve and construct a few natural semistable modular compactifications of the moduli space of smooth genus one curves. Finally, we prove that our moduli space of m-stable partially aligned log curves resolves the indeterminacy between the moduli space of Deligne-Mumford stable curves and the moduli space of m-stable curves constructed by Smyth.
Creator
Date Issued
  • 2017
Academic Affiliation
Advisor
Committee Member
Degree Grantor
Commencement Year
Subject
Last Modified
  • 2019-11-16
Resource Type
Rights Statement
Language

Relationships

Items