Rational families of vector bundles on curves
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2002.
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| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2005
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| Online Access: | http://hdl.handle.net/1721.1/8397 |
| _version_ | 1826208385447493632 |
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| author | Castravet, Ana-Maria, 1975- |
| author2 | Joseph Harris. |
| author_facet | Joseph Harris. Castravet, Ana-Maria, 1975- |
| author_sort | Castravet, Ana-Maria, 1975- |
| collection | MIT |
| description | Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2002. |
| first_indexed | 2024-09-23T14:04:55Z |
| format | Thesis |
| id | mit-1721.1/8397 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T14:04:55Z |
| publishDate | 2005 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/83972019-04-12T09:15:47Z Rational families of vector bundles on curves Castravet, Ana-Maria, 1975- Joseph Harris. Massachusetts Institute of Technology. Dept. of Mathematics. Massachusetts Institute of Technology. Dept. of Mathematics. Mathematics. Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2002. Includes bibliographical references (p. 163). We find and describe the irreducible components of the space of rational curves on moduli spaces M of rank 2 stable vector bundles with odd determinant on curves C of genus g [greater than or equal to] 2. We prove that the maximally rationally connected quotient of such a component is either the Jacobian J(C) or a direct sum of two copies of the Jacobian. We show that moduli spaces of rational curves on M are in one-to-one correspondence with moduli of rank 2 vector bundles on the surface P[set]1 x C. by Ana-Maria Castravet. Ph.D. 2005-08-23T19:52:14Z 2005-08-23T19:52:14Z 2002 2002 Thesis http://hdl.handle.net/1721.1/8397 50594737 eng M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582 163 p. 10427492 bytes 10427251 bytes application/pdf application/pdf application/pdf Massachusetts Institute of Technology |
| spellingShingle | Mathematics. Castravet, Ana-Maria, 1975- Rational families of vector bundles on curves |
| title | Rational families of vector bundles on curves |
| title_full | Rational families of vector bundles on curves |
| title_fullStr | Rational families of vector bundles on curves |
| title_full_unstemmed | Rational families of vector bundles on curves |
| title_short | Rational families of vector bundles on curves |
| title_sort | rational families of vector bundles on curves |
| topic | Mathematics. |
| url | http://hdl.handle.net/1721.1/8397 |
| work_keys_str_mv | AT castravetanamaria1975 rationalfamiliesofvectorbundlesoncurves |