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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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Limits of tangents of quasi-ordinary hypersurfaces
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by António Araújo and Orlando Neto PDF
Proc. Amer. Math. Soc. 141 (2013), 1-11 Request permission

Abstract:

We compute explicitly the limits of tangents of a quasi-ordinary singularity in terms of its special monomials. We show that the set of limits of tangents of $Y$ is essentially a topological invariant of $Y$.
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Additional Information
  • António Araújo
  • Affiliation: DCeT, Universidade Aberta, R. Escola Politecnica 141-147, 1269-001 Lisboa, Portugal – and – CMAF, Universidade de Lisboa, Av. Gama Pinto, 2, 1699-003 Lisboa, Portugal
  • Email: ant.arj@gmail.com
  • Orlando Neto
  • Affiliation: Departamento de Matemática and CMAF, Faculdade de Ciências da Universidade de Lisboa, Av. Gama Pinto, 2, 1699-003 Lisboa, Portugal
  • Email: orlando60@gmail.com
  • Received by editor(s): March 23, 2010
  • Received by editor(s) in revised form: March 7, 2011
  • Published electronically: September 10, 2012
  • Additional Notes: This research was partially supported by FEDER and FCT-Plurianual 2010.
  • Communicated by: Lev Borisov
  • © Copyright 2012 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 141 (2013), 1-11
  • MSC (2010): Primary 14B05, 32S05
  • DOI: https://doi.org/10.1090/S0002-9939-2012-11126-8
  • MathSciNet review: 2988706