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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Rigorous computation of the endomorphism ring of a Jacobian
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by Edgar Costa, Nicolas Mascot, Jeroen Sijsling and John Voight HTML | PDF
Math. Comp. 88 (2019), 1303-1339 Request permission

Abstract:

We describe several improvements and generalizations to algorithms for the rigorous computation of the endomorphism ring of the Jacobian of a curve defined over a number field.
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Additional Information
  • Edgar Costa
  • Affiliation: Department of Mathematics, Dartmouth College, 6188 Kemeny Hall, Hanover, New Hampshire 03755
  • Address at time of publication: Department of Mathematics, 77 Massachusetts Ave., Bldg. 2-252B, Cambridge, Massachusetts 02139
  • MR Author ID: 1041071
  • ORCID: 0000-0003-1367-7785
  • Email: edgarc@mit.edu
  • Nicolas Mascot
  • Affiliation: Department of Mathematics, University of Warwick, Coventry CV4 7AL, United Kingdom
  • Address at time of publication: Department of Mathematics, Faculty of Arts and Sciences, American University of Beirut, P.O. Box 11-0236, Riad El Solh, Beirut 1107 2020, Lebanon
  • MR Author ID: 1040021
  • Email: nm116@aub.edu.lb
  • Jeroen Sijsling
  • Affiliation: Universität Ulm, Institut für Reine Mathematik, D-89068 Ulm, Germany
  • MR Author ID: 974789
  • ORCID: 0000-0002-0632-9910
  • Email: jeroen.sijsling@uni-ulm.de
  • John Voight
  • Affiliation: Department of Mathematics, Dartmouth College, 6188 Kemeny Hall, Hanover, New Hampshire 03755
  • MR Author ID: 727424
  • ORCID: 0000-0001-7494-8732
  • Email: jvoight@gmail.com
  • Received by editor(s): May 30, 2017
  • Received by editor(s) in revised form: January 14, 2018, and April 4, 2018
  • Published electronically: September 10, 2018
  • Additional Notes: The second author was supported by the EPSRC Programme Grant EP/K034383/1 “LMF: L-Functions and Modular Forms”.
    The third author was supported by the Juniorprofessuren-Programm “Endomorphismen algebraischer Kurven” (7635.521(16)) from the Science Ministry of Baden–Württemberg.
    The fourth author was supported by an NSF CAREER Award (DMS-1151047) and a Simons Collaboration Grant (550029).
  • © Copyright 2018 American Mathematical Society
  • Journal: Math. Comp. 88 (2019), 1303-1339
  • MSC (2010): Primary 11G10, 11Y99, 14H40, 14K15, 14Q05
  • DOI: https://doi.org/10.1090/mcom/3373
  • MathSciNet review: 3904148