Optimal Quotients of Jacobians With Toric
Reduction and Component Groups
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Published:2016-12-01
Issue:6
Volume:68
Page:1362-1381
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ISSN:0008-414X
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Container-title:Canadian Journal of Mathematics
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language:en
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Short-container-title:Can. j. math.
Author:
Papikian Mihran,Rabinoff Joseph
Abstract
AbstractLet J be a Jacobian variety with toric reduction over a local field K. Let J → E be an optimal quotient defined over K, where E is an elliptic curve. We give examples in which the functorially induced map on component groups of the Néron models is not surjective. This answers a question of Ribet and Takahashi. We also give various criteria under which is surjective and discuss when these criteria hold for the Jacobians of modular curves.
Publisher
Canadian Mathematical Society
Subject
General Mathematics
Cited by
1 articles.
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