Join operation and \mathcal A-finite map-germs

2021/05/11 by Maria Elenice Rodrigues Hernandes, Hernandes, Maria Elenice Rodrigues, María Aparecida Soares Ruas +1
Mathematics · #14H20 #32S10 #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2105.04759

openalex publication_date 2021/05/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work we define some map-germs, called elementary joins, for the purpose of producing new \mathcal A-finite map-germs from them. In particular, we describe a general form of an \mathcal A-finite monomial map from (ℂⁿ,0) to (ℂ^p,0) for p≥ 2n of any corank in terms of elementary join maps. Our main tools are the delta invariant and some invariants of curves.

Related

• The join construction
• Joinings classification and applications [after Einsiedler and Lindenstruass]
• On the arithmetic of the join rings over finite fields
• On invariants of a map germ from n-space to 2n-space
• A formula to calculate the invariant J of a quasi-homogeneous map germ