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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Geometric properties derived from generic initial spaces
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by Gunnar Fløystad and Mike Stillman
Proc. Amer. Math. Soc. 137 (2009), 3619-3625
DOI: https://doi.org/10.1090/S0002-9939-09-09946-8
Published electronically: May 29, 2009

Abstract:

For a vector space $V$ of homogeneous forms of the same degree in a polynomial ring, we investigate what can be said about the generic initial ideal of the ideal generated by $V$, from the form of the generic initial space $\mathrm {gin}{V}$ for the revlex order. Our main result is a considerable generalisation of a previous result by the first author.
References
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Bibliographic Information
  • Gunnar Fløystad
  • Affiliation: Matematisk Institutt, University of Bergen, Johannes Brunsgt. 12, 5008 Bergen, Norway
  • Email: gunnar@mi.uib.no
  • Mike Stillman
  • Affiliation: Department of Mathematics, Cornell University, Ithaca, New York 14853
  • MR Author ID: 167420
  • Email: mike@math.cornell.edu
  • Received by editor(s): May 1, 2008
  • Received by editor(s) in revised form: February 25, 2009
  • Published electronically: May 29, 2009
  • Additional Notes: The second author was partially supported by NSF Grant DMS-0311806
  • Communicated by: Bernd Ulrich
  • © Copyright 2009 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 137 (2009), 3619-3625
  • MSC (2000): Primary 13P10
  • DOI: https://doi.org/10.1090/S0002-9939-09-09946-8
  • MathSciNet review: 2529868