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Finite Weil restriction of curves
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Flynn, Victor and Testa, Damiano (2015) Finite Weil restriction of curves. Monatshefte fur Mathematik, 176 (2). pp. 197-218. doi:10.1007/s00605-014-0711-6
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Official URL: https://doi.org/10.1007/s00605-014-0711-6
Abstract
Given number fields L⊃K, smooth projective curves C defined over L and B defined over K, and a non-constant L-morphism h:C→B_L,we consider the curve C_h 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 C_h(K) can be infinite only when C has genus at most 1; we analyze completely the case when C has genus 1.
| Item Type: | Journal Article | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Divisions: | Faculty of Science > Mathematics | ||||||||
| Journal or Publication Title: | Monatshefte fur Mathematik | ||||||||
| Publisher: | Springer Vienna | ||||||||
| ISSN: | 0026-9255 | ||||||||
| Official Date: | February 2015 | ||||||||
| Dates: |
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| Date of first compliant deposit: | 13 July 2018 | ||||||||
| Volume: | 176 | ||||||||
| Number: | 2 | ||||||||
| Page Range: | pp. 197-218 | ||||||||
| DOI: | 10.1007/s00605-014-0711-6 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||||
| Open Access Version: |
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