Abstract
Consider
I
an homogeneous ideal in
S
=
k
[
x
0
,...,
x
n
], where
k
is a field of characteristic zero. For any multiplicative order > on
S
with
x
0
>
x
1
> ... >
x
n
, denote by
M
>
(
I
) the maximum degree of a generator of the Gröbner basis for
I
with respect to the order >. It is known [BaSt87] that if
I
is in generic coordinates, then
M
rev. lex.
(
I
) is minimal among all orders.
Publisher
Association for Computing Machinery (ACM)
Cited by
2 articles.
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