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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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On the equations defining toric l.c.i.-singularities
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by Dimitrios I. Dais and Martin Henk PDF
Trans. Amer. Math. Soc. 355 (2003), 4955-4984 Request permission

Abstract:

Based on Nakajima’s Classification Theorem we describe the precise form of the binomial equations which determine toric locally complete intersection (“l.c.i.”) singularities.
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Additional Information
  • Dimitrios I. Dais
  • Affiliation: Department of Mathematics and Statistics, University of Cyprus, P.O. Box 20537, CY-1678 Nicosia, Cyprus
  • Address at time of publication: Department of Mathematics, University of Crete, Knossos Avenue, GR-71409 Heraklion, Crete, Greece
  • Email: ddais@ucy.ac.cy, ddais@math.uoc.gr
  • Martin Henk
  • Affiliation: Technical University Otto von Guericke, Institute for Algebra and Geometry, PSF 4120, D-39016 Magdeburg, Germany
  • Email: henk@math.uni-magdeburg.de
  • Received by editor(s): April 30, 2002
  • Received by editor(s) in revised form: September 27, 2002
  • Published electronically: July 28, 2003
  • Additional Notes: The second author would like to thank the Mathematics Department of the University of Crete for hospitality and support during the spring term 2001, where this work was initiated.
  • © Copyright 2003 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 355 (2003), 4955-4984
  • MSC (2000): Primary 14B05, 14M10, 14M25, 52B20; Secondary 13H10, 13P10, 20M25, 32S05
  • DOI: https://doi.org/10.1090/S0002-9947-03-03218-5
  • MathSciNet review: 1997591