Covers of an Elliptic Curve E and Curves in ExP1


We describe the hyperplane sections of the Severi variety of curves in ExP1 in a similar fashion to Caporaso—Harris’ seminal work. From this description we almost get a recursive formula for the Severi degrees—we get the terms, but not the coefficients. As an application, we determine the components of the Hurwitz space of simply branched covers of a genus one curve. In return, we use this characterization to describe the components of the Severi variety of curves in E × P1, in a restricted range of degrees.Mathematic

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Harvard University - DASH

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oaioai:dash.harvard.edu:1/17467298Last time updated on 4/17/2018

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