Mathematics – Algebraic Geometry
Scientific paper
2010-04-06
Mathematics
Algebraic Geometry
24 pages
Scientific paper
We propose a general study of standard bases of polynomial ideals with parameters in the case where the monomial order is arbitrary. We give an application to the computation of the stratification by the local Hilbert-Samuel function. Moreover, we give an explicit upper bound for the degree of a standard basis for an arbitrary order and also for the number of the possible affine or local Hilbert-Samuel functions depending on the number of variables and the maximal degree of the given generators.
No associations
LandOfFree
Parametric standard basis, degree bound and local Hilbert-Samuel function does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Parametric standard basis, degree bound and local Hilbert-Samuel function, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Parametric standard basis, degree bound and local Hilbert-Samuel function will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-57798