Bounding the degrees of generators of a homogeneous dimension 2 toric ideal

Details Bounding the degrees of generators of a homogeneous dimension 2 toric ideal Bounding the degrees of generators of a homogeneous dimension 2 toric ideal

2002-04-22

arxiv.org/abs/math/0204254v1

Mathematics

Commutative Algebra

8 pages. To appear in Collectanea Mathematica

Scientific paper

Let I be the toric ideal defined by a 2 x n matrix of integers, A = ((1 1 ...
1)(a_1 a_2 ... a_n)) with a_1is generated by elements of degree at most the sum of the two largest
differences a_i - a_(i-1). The novelty is in the method of proof: the result
has already been shown by L'vovsky using cohomological arguments.

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