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Geometric properties derived from generic initial spaces


Authors: Gunnar Fløystad and Mike Stillman
Journal: Proc. Amer. Math. Soc. 137 (2009), 3619-3625
MSC (2000): Primary 13P10
DOI: https://doi.org/10.1090/S0002-9939-09-09946-8
Published electronically: May 29, 2009
MathSciNet review: 2529868
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Abstract | References | Similar Articles | Additional Information

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.


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Additional 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
Email: mike@math.cornell.edu

DOI: https://doi.org/10.1090/S0002-9939-09-09946-8
Keywords: Generic initial ideal, revlex order
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
Article copyright: © Copyright 2009 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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