Geometric properties derived from generic initial spaces

Details Geometric properties derived from generic initial spaces Geometric properties derived from generic initial spaces

2007-10-17

arxiv.org/abs/0710.3271v2

Proc. Amer. Math. Soc. 137 (2009), 3619-3625

Mathematics

Commutative Algebra

Improved presentation, 8 pages, to appear in Proceedings of AMS

Scientific paper

10.1090/S0002-9939-09-09946-8

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.

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