Jordan type of full Perazzo algebras

2025/06/30 by Marques, Pedro Macias, Miró-Roig, Rosa M., Pérez, Josep
#13D40 #13E10 #13H10 #14M05 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2506.23904

Abstract

In this paper, we compute all possible Jordan types of linear forms ℓ in any full Perazzo algebra A. In some cases we are also able to compute the corresponding Jordan degree type, which is a finer invariant.

Citations

• Betti numbers of full Perazzo algebras
• Perazzo n-folds and the weak Lefschetz property
• Perazzo hypersurfaces and the weak Lefschetz property
• Hilbert functions and Jordan type of Perazzo Artinian algebras
• Perazzo 3-folds and the weak Lefschetz property
• Artinian algebras and Jordan type
• On the theory of Gordan-Noether on homogeneous forms with zero Hessian (Improved version)
• Lefschetz elements of Artinian Gorenstein algebras and Hessians of homogeneous polynomials

Related

• A note on Jordan types and Jordan degree types
• Hilbert functions and Jordan type of Perazzo Artinian algebras
• Jordan type of an Artinian algebra, a survey
• The Jordan type of graded Artinian Gorenstein algebras
• Artinian algebras and Jordan type