Photo by vika_strawberrika from unsplash
Abstract Given a pair of monomial ideals I and J of finite colength of the ring of analytic function germs ( C n , 0 ) → C , we… Click to show full abstract
Abstract Given a pair of monomial ideals I and J of finite colength of the ring of analytic function germs ( C n , 0 ) → C , we prove that some power of I admits a reduction formed by homogeneous polynomials with respect to the Newton filtration induced by J if and only if the quotient of multiplicities e ( I ) / e ( J ) attains a suitable upper bound expressed in terms of the Newton polyhedra of I and J. We also explore other connections between mixed multiplicities, Newton filtrations and the integral closure of ideals.
Keywords:
quotients multiplicities;
integral closure;
bounds quotients;
closure bounds;
monomial ideals
Journal Title: Journal of Algebra
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Journal of Algebra
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!