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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the representation type of a projective variety
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by Rosa M. Miró-Roig PDF
Proc. Amer. Math. Soc. 143 (2015), 61-68 Request permission

Abstract:

Let $X\subset \mathbb {P}^n$ be a smooth arithmetically Cohen-Macaulay variety. We prove that the restriction $\nu _{3|X}$ to $X$ of the Veronese 3-uple embedding $\nu _3:\mathbb {P}^n \longrightarrow \mathbb {P}^{{n+3\choose 3}-1}$ embeds $X$ as a variety of wild representation type.
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Additional Information
  • Rosa M. Miró-Roig
  • Affiliation: Facultat de Matemàtiques, Department d’Algebra i Geometria, University of Barcelona, Gran Via des les Corts Catalanes 585, 08007 Barcelona, Spain
  • MR Author ID: 125375
  • ORCID: 0000-0003-1375-6547
  • Email: miro@ub.edu
  • Received by editor(s): June 28, 2012
  • Received by editor(s) in revised form: March 7, 2013
  • Published electronically: September 3, 2014
  • Additional Notes: The author was partially supported by MTM2013-45075.
  • Communicated by: Irena Peeva
  • © Copyright 2014 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 143 (2015), 61-68
  • MSC (2010): Primary 14F99; Secondary 14J99
  • DOI: https://doi.org/10.1090/S0002-9939-2014-12198-8
  • MathSciNet review: 3272732