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The Geometry of Moduli Spaces of Maps from Curves


Ye, Seunghee (2017) The Geometry of Moduli Spaces of Maps from Curves. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z9MP5191.


A class of moduli spaces that has long been the interest of many algebraic geometers is the class of moduli spaces parametrizing maps from curves to target spaces. Different such moduli spaces have distinct geometry and also invariants associated to them. In this thesis, we will study the geometry of three such moduli spaces. By understanding the global geometry of each moduli space, we will produce a stratification, which plays a central role in proving a result about invariants associated to the space.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Algebraic Geometry, Enumerative Geometry
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Mathematics
Awards:Apostol Award for Excellence in Teaching in Mathematics: 2013, 2015-2017.
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Graber, Thomas B.
Thesis Committee:
  • Graber, Thomas B. (chair)
  • Marcolli, Matilde
  • Solis, Pablo R.
  • Zhu, Xinwen
Defense Date:3 May 2017
Record Number:CaltechTHESIS:05122017-151540545
Persistent URL:
Ye, Seunghee0000-0002-1250-2935
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10170
Deposited By: Seunghee Ye
Deposited On:23 May 2017 23:16
Last Modified:28 Oct 2021 19:08

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