Groebner deformations, connectedness and cohomological dimension

Details Groebner deformations, connectedness and cohomological dimension Groebner deformations, connectedness and cohomological dimension

2008-02-13

arxiv.org/abs/0802.1800v3

Journal of Algebra 322 (2009) 2492-2507

Mathematics

Commutative Algebra

17 pages

Scientific paper

This paper is an outcome of the author's master thesis written under the
supervision of Aldo Conca. We prove some results relating connectedness
properties with (local) cohomological dimension. As an interesting corollary we
have that every initial complex of a Cohen-Macaulay ideal is strongly
connected.

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