Journal article
Finite Weil restriction of curves
- Abstract:
- Given number fields L $\supset$ K, smooth projective curves C defined over L and B defined over K, and a non-constant L-morphism h: C $\to$ BL,we consider the curve Ch defined over K whose K-rational points parametrize the L-rational points on C whose images under h are defined over K. Our construction provides a framework which includes as a special case that used in Elliptic Curve Chabauty techniques and their higher genus versions. The set Ch(K) can be infinite only when C has genus at most 1; we analyze completely the case when C has genus1.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Author's original, pdf, 410.3KB, Terms of use)
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- Publisher copy:
- 10.1007/s00605-014-0711-6
Authors
- Publisher:
- Springer-Verlag Wien
- Journal:
- Monatshefte fur Mathematik More from this journal
- Volume:
- 176
- Issue:
- 2
- Pages:
- 197-218
- Publication date:
- 2012-10-16
- DOI:
- ISSN:
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0026-9255
- Language:
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English
- Keywords:
- Pubs id:
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pubs:356371
- UUID:
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uuid:6e30d6db-60a5-4bb8-8c8d-6c98ef782f60
- Local pid:
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pubs:356371
- Source identifiers:
-
356371
- Deposit date:
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2013-09-26
Terms of use
- Copyright holder:
- Eugene Victor Flynn and Damiano Testa
- Copyright date:
- 2012
- Notes:
-
Comments are welcome! Copyright © The Author(s) 2014. This article is distributed under the terms of the Creative Commons Attribution License
which permits any use, distribution, and reproduction in any medium, provided the original author(s) and
the source are credited.
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