Thesis advisor: Dawei Chen / We investigate the birational geometry of Mg and Mg,n through the use of the strata of abelian differentials and the strata of zero residue differentials that form affine invariant submanifolds in the strata. We compute the class of codimension one subvarieties in Mg and Mg,n coming from these strata and study their birational significance. / Thesis (PhD) — Boston College, 2016. / Submitted to: Boston College. Graduate School of Arts and Sciences. / Discipline: Mathematics.
| Identifer | oai:union.ndltd.org:BOSTON/oai:dlib.bc.edu:bc-ir_107220 |
| Date | January 2016 |
| Creators | Mullane, Scott |
| Publisher | Boston College |
| Source Sets | Boston College |
| Language | English |
| Detected Language | English |
| Type | Text, thesis |
| Format | electronic, application/pdf |
| Rights | Copyright is held by the author, with all rights reserved, unless otherwise noted. |
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