The Minkowski equality and inequality for multiplicity of ideals
Kriti Goel, R. V. Gurjar, J. K. Verma
TL;DR
This paper explores Minkowski's equality and inequality for the multiplicity of ideals, providing algebraic and geometric proofs and discussing their relation to mixed multiplicities.
Contribution
It offers new simple proofs of Minkowski's inequalities for ideals and clarifies their connection to mixed multiplicities.
Findings
Established algebraic proofs of Minkowski's inequalities.
Connected Minkowski inequalities with mixed multiplicities.
Clarified geometric interpretations of the inequalities.
Abstract
In this exposition of the equality and inequality of Minkowski for multiplicity of ideals, we provide simple algebraic and geometric proofs. Connections with mixed multiplicities of ideals are explained.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsFunctional Equations Stability Results · Advanced Banach Space Theory · Advanced Topics in Algebra