Graduate Thesis Or Dissertation
Semistable Modular Compactifications of Moduli Spaces of Genus One Curves Public Deposited
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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.
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- 2017
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- 2019-11-16
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semistableModularCompactificationsOfModuliSpacesOfGenusOn.pdf | 2019-11-11 | Public | Download |