Abelian varieties without a prescribed Newton Polygon reduction
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- by Jiangwei Xue and Chia-Fu Yu PDF
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Abstract:
In this article we construct for each integer $g\ge 2$ an abelian variety $A$ of dimension $g$ defined over a number field for which there exists a symmetric integral slope sequence of length $2g$ that does not appear as the slope sequence of $\widetilde {A}$ for any good reduction $\widetilde {A}$ of $A$.References
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Additional Information
- Jiangwei Xue
- Affiliation: Institute of Mathematics, Academia Sinica and NCTS (Taipei Office), 6th Floor, Astronomy Mathematics Building, No. 1, Roosevelt Road Section 4, Taipei, Taiwan, 10617
- Address at time of publication: Collaborative Innovation Centre of Mathematics, School of Mathematics and Statistics, Wuhan University, Luojiashan, Wuhan, Hubei, 430072, People’s Republic of China
- MR Author ID: 899506
- Email: xue_j@whu.edu.cn
- Chia-Fu Yu
- Affiliation: Institute of Mathematics, Academia Sinica and NCTS (Taipei Office), 6th Floor, Astronomy Mathematics Building, No. 1, Roosevelt Road Section 4, Taipei, Taiwan, 10617
- MR Author ID: 716493
- ORCID: 0000-0003-1634-672X
- Email: chiafu@math.sinica.edu.tw
- Received by editor(s): November 5, 2013
- Received by editor(s) in revised form: January 13, 2014
- Published electronically: January 21, 2015
- Communicated by: Matthew A. Papanikolas
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 143 (2015), 2339-2345
- MSC (2010): Primary 11G15; Secondary 14K22
- DOI: https://doi.org/10.1090/S0002-9939-2015-12483-5
- MathSciNet review: 3326016