Resolutions of Pinched Power Ideals
Ho\`ai {\DJ}\`ao, Jeff Mermin
TL;DR
This paper constructs explicit resolutions for certain power ideals in polynomial rings, specifically those formed by removing a few generators from powers of the ideal (x_1,...,x_n)^d.
Contribution
It provides new explicit resolutions for ideals derived from powers of (x_1,...,x_n) by generator removal, advancing understanding of their algebraic structure.
Findings
Explicit resolutions for pinched power ideals are constructed.
The resolutions reveal structural properties of these ideals.
Potential applications in algebraic geometry and commutative algebra.
Abstract
In this paper, we construct resolutions of ideals obtained by removing a small number of generators from the generators of .
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
TopicsMathematical Analysis and Transform Methods · Mathematical Approximation and Integration · Advanced Differential Geometry Research