Journal article

A Note on the Manin-Mumford Conjecture

Abstract:: In [PR1], R. Pink and the author gave a short proof of the Manin-Mumford conjecture, which was inspired by an earlier model-theoretic proof by Hrushovski. The proof given in [PR1] uses a difficult unpublished ramification-theoretic result of Serre. It is the purpose of this note to show how the proof given in [PR1] can be modified so as to circumvent the reference to Serre’s result. J. Oesterlé and R. Pink contributed several simplifications and shortcuts to this note.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Roessler, D. (2005). A Note on the Manin-Mumford Conjecture. Progress in Mathematics: Number Fields and Function Fields—Two Parallel Worlds, 239, 311–318.

MLA Style

Roessler, D. “A Note on the Manin-Mumford Conjecture.” Progress in Mathematics: Number Fields and Function Fields—Two Parallel Worlds, vol. 239, 2005, pp. 311–18.

Chicago Style

Roessler, D. 2005. “A Note on the Manin-Mumford Conjecture.” Progress in Mathematics: Number Fields and Function Fields—Two Parallel Worlds 239: 311–18.
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Files:: mma.pdf

(Preview, Accepted manuscript, pdf, 146.8KB, Terms of use)

Publisher copy:: 10.1007%2F0-8176-4447-4_15

Authors

+ Roessler, D More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Oxford college:: Pembroke College
Role:: Author

Publisher:: Springer
Journal:: Progress in Mathematics: Number Fields and Function Fields—Two Parallel Worlds More from this journal
Volume:: 239
Pages:: 311-318
Publication date:: 2005-12-31
Acceptance date:: 2005-01-01
DOI:: 10.1007%2F0-8176-4447-4_15
ISSN:: 0743-1643

Keywords:: math.AG

SBTMR

incollection

math.NT

14G05
Pubs id:: pubs:745028
UUID:: uuid:d7069ec5-530f-4e76-b856-ad7ef03dfe0e
Local pid:: pubs:745028
Source identifiers:: 745028
Deposit date:: 2018-05-05
ARK identifier:: ark:/29072/ora_d7069ec5530f4e76b856ad7ef03dfe0e

Terms of use

Copyright date:: 2005

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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