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The Geometry of Hurwitz Space

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2013-09-30

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Patel, Anand Pankaj. 2013. The Geometry of Hurwitz Space. Doctoral dissertation, Harvard University.

Abstract

We explore the geometry of certain special subvarieties of spaces of branched covers which we call the Maroni and Casnati-Ekedahl loci. Our goal is to understand the divisor theory on compactifications of Hurwitz space, with the aim of providing upper bounds for slopes of sweeping families of d-gonal curves.

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Mathematics, d-gonal, Hurwitz

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