EQUIVARIANT HILBERT SERIES OF MONOMIAL ORBITS

作者：Gunturkun Sema^*; Nagel Uwe

来源：PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 146(6): 2381-2393.

DOI：10.1090/proc/13943

• Hilbert function
• polynomial ring
• monoid
• invariant ideal
• Krull dimension
• degree
• multiplicity

The equivariant Hilbert series of an ideal generated by an orbit of a monomial under the action of the monoid Inc(N) of strictly increasing functions is determined. This is used to find the dimension and degree of such an ideal. The result also suggests that the description of the denominator of an equivariant Hilbert series of an arbitrary Inc(N)-invariant ideal as given by Nagel and Romer is rather efficient.

• 出版日期2018-6