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Mathematics > Commutative Algebra

arXiv:0710.3271 (math)
[Submitted on 17 Oct 2007 (v1), last revised 24 Apr 2009 (this version, v2)]

Title:Geometric properties derived from generic initial spaces

Authors:Gunnar Floystad, Mike Stillman
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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 gin(V) for the revlex order. Our main result is a considerable generalisation of a previous result by the first author.
Comments: Improved presentation, 8 pages, to appear in Proceedings of AMS
Subjects: Commutative Algebra (math.AC)
MSC classes: 13P10
Cite as: arXiv:0710.3271 [math.AC]
  (or arXiv:0710.3271v2 [math.AC] for this version)
  https://doi.org/10.48550/arXiv.0710.3271
Journal reference: Proc. Amer. Math. Soc. 137 (2009), 3619-3625
Related DOI: https://doi.org/10.1090/S0002-9939-09-09946-8

Submission history

From: Gunnar Floystad [view email]
[v1] Wed, 17 Oct 2007 11:29:37 UTC (8 KB)
[v2] Fri, 24 Apr 2009 06:25:30 UTC (9 KB)
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