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 compon...
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ndltd-harvard.edu-oai-dash.harvard.edu-1-174672982017-07-27T15:51:44ZCovers of an Elliptic Curve E and Curves in ExP1Tavares Bujokas, GabrielMathematicsWe 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.Mathematics2015-07-17T17:39:35Z2015-052015-04-3020152015-07-17T17:39:35ZThesis or Dissertationtextapplication/pdfTavares Bujokas, Gabriel. 2015. Covers of an Elliptic Curve E and Curves in ExP1. Doctoral dissertation, Harvard University, Graduate School of Arts & Sciences.http://nrs.harvard.edu/urn-3:HUL.InstRepos:174672980000-0002-5580-8029enopenhttp://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#LAAHarvard University |
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NDLTD |
| language |
en |
| format |
Others
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| topic |
Mathematics |
| spellingShingle |
Mathematics Tavares Bujokas, Gabriel Covers of an Elliptic Curve E and Curves in ExP1 |
| description |
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. === Mathematics |
| author |
Tavares Bujokas, Gabriel |
| author_facet |
Tavares Bujokas, Gabriel |
| author_sort |
Tavares Bujokas, Gabriel |
| title |
Covers of an Elliptic Curve E and Curves in ExP1 |
| title_short |
Covers of an Elliptic Curve E and Curves in ExP1 |
| title_full |
Covers of an Elliptic Curve E and Curves in ExP1 |
| title_fullStr |
Covers of an Elliptic Curve E and Curves in ExP1 |
| title_full_unstemmed |
Covers of an Elliptic Curve E and Curves in ExP1 |
| title_sort |
covers of an elliptic curve e and curves in exp1 |
| publisher |
Harvard University |
| publishDate |
2015 |
| url |
http://nrs.harvard.edu/urn-3:HUL.InstRepos:17467298 |
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AT tavaresbujokasgabriel coversofanellipticcurveeandcurvesinexp1 |
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