Large families of stable bundles on abelian varieties
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- by Tohru Nakashima PDF
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Abstract:
A sequence of $\mu$-stable bundles $\{E_m\}$ on a polarized variety $(X,H)$ is said to be a large family if their ranks and the discriminants become arbitrarily large as $m$ goes to infinity. We prove the existence of large families on a principally polarized abelian variety $(X,\Theta )$ such that the Neron-Severi group is generated by $\Theta$.References
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Additional Information
- Tohru Nakashima
- Affiliation: Department of Mathematical and Physical Sciences, Faculty of Science, Japan Women’s University, Mejirodai, Bunkyoku, Tokyo 112-8681, Japan
- Email: nakashima@fc.jwu.ac.jp
- Received by editor(s): May 11, 2011
- Received by editor(s) in revised form: October 9, 2011
- Published electronically: February 20, 2013
- Additional Notes: The author was supported in part by Grant-in-Aid for Scientific Research (C)(21540049)
The author is grateful to the referee for pointing out several mistakes in the original manuscript and for giving valuable comments - Communicated by: Lev Borisov
- © Copyright 2013 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 141 (2013), 2225-2231
- MSC (2010): Primary 14J60; Secondary 14K12
- DOI: https://doi.org/10.1090/S0002-9939-2013-11559-5
- MathSciNet review: 3043004