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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 | |||||||||
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| Subjects: | Q Science > QA Mathematics | |||||||||
| Divisions: | Faculty of Science > Mathematics | |||||||||
| Library of Congress Subject Headings (LCSH): | Curves, Algebraic, Jacobians, Weil conjectures | |||||||||
| Journal or Publication Title: | Monatshefte fur Mathematik | |||||||||
| Publisher: | Springer Vienna | |||||||||
| ISSN: | 0026-9255 | |||||||||
| Official Date: | February 2015 | |||||||||
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| 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 | |||||||||
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