Chaturvedi, Ananya 1987- Portions of this document appear in: Alvarez, Angelynn, Ananya Chaturvedi, and Gordon Heier. "Optimal pinching for the holomorphic sectional curvature of Hitchin's metrics on Hirzebruch surfaces." Contemp. Math 654 (2015): 133-142. Published version contained in DOI: http://dx.doi.org/10.1090/conm/654.
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2016