Work

Waring rank of certain complete intersection forms

Year: 2026

Type: preprint

Abstract: The complete intersection forms are the homogeneous polynomials whose annihilator ideal or the Macaulay dual, is an Artinian complete intersection ideal. In this paper, we compute the Waring rank of certain complete intersection forms. As an application, we compute the Waring rank of binomials whose annihilator is a complete intersection ideal. Further, we also compute the Waring rank of the product of binary forms in different sets of variables.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.18346

Authors: Bhat, Meghana, Carlini, Enrico, Masuti, Shreedevi K., Sebastian, Ronnie

Language: English

Topic: Tensor decomposition and applications

Subfield: Computational Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: European Commission, Nanyang Technological University, Scheme for Promotion of Academic and Research Collaboration, Ministero dell'Università e della Ricerca, NextGenerationEU

Awards: G231133531, G2405171568, G2701445157, G4488344675, G5894317474, G598502428, G7275544791, G818863841, G912668888, G972786147

OpenAlex ID: W7221786150

Cites: 16

Cited by: 1

Related to: 10