Projective normality of the moduli space of rank $2$ vector bundles on a generic curve
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Abstract:
We prove that the embedding to the projective space by the generalized theta divisors of the moduli space of rank $2$ vector bundles on a generic curve is projective normal.References
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Additional Information
- Takeshi Abe
- Affiliation: Research Institute for Mathematical Sciences, Kyoto University, Kitashirakawa, Sakyo-ku, Kyoto, 606-8502, Japan
- Address at time of publication: Graduate School of Science and Technology, Kumamoto University, 2-39-1 Kurokami, Kumamoto 860-8555, Japan
- Email: abeken@kurims.kyoto-u.ac.jp, abeken@sci.kumamoto-u.ac.jp
- Received by editor(s): November 2, 2007
- Received by editor(s) in revised form: May 2, 2008
- Published electronically: August 12, 2009
- Additional Notes: The author was partially supported by the Japanese Ministry of Education and Science, Grant-in-Aid for Young Scientists (B)
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 362 (2010), 477-490
- MSC (2000): Primary 14H60, 14D20
- DOI: https://doi.org/10.1090/S0002-9947-09-04816-8
- MathSciNet review: 2550160