Unipotent groups associated to reduced curves
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- by David Penniston PDF
- Trans. Amer. Math. Soc. 352 (2000), 5025-5043 Request permission
Abstract:
Let $X$ be a curve defined over an algebraically closed field $k$ with $\operatorname {char}(k)=p>0$. Assume that $X/k$ is reduced. In this paper we study the unipotent part $U$ of the Jacobian $J_{X/k}$. In particular, we prove that if $p$ is large in terms of the dimension of $U$, then $U$ is isomorphic to a product of additive groups $\mathbb {G}_a$.References
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Additional Information
- David Penniston
- Affiliation: Department of Mathematics, Pennsylvania State University, 218 McAllister Building, University Park, Pennsylvania 16802
- Address at time of publication: Department of Mathematics, Furman University, Greenville, South Carolina 29613
- Email: dpenn@math.furman.edu
- Received by editor(s): September 13, 1998
- Received by editor(s) in revised form: March 17, 1999
- Published electronically: July 12, 2000
- © Copyright 2000 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 352 (2000), 5025-5043
- MSC (1991): Primary 14H40; Secondary 14L17, 14H20
- DOI: https://doi.org/10.1090/S0002-9947-00-02572-1
- MathSciNet review: 1695033