Join operation and A-finite map-germs

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 $(\mathbb{C}^n,0)$ to $(\mathbb{C}^{p},0)$ for $p\geq 2n$ of an...

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Veröffentlicht in:Quarterly journal of mathematics 2023-12, Vol.74 (4), p.1415-1434
Hauptverfasser: Rodrigues Hernandes, M E, Ruas, M A S
Format: Artikel
Sprache:eng
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Zusammenfassung: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 $(\mathbb{C}^n,0)$ to $(\mathbb{C}^{p},0)$ for $p\geq 2n$ of any corank in terms of elementary join maps. Our main tools are the delta invariant and some invariants of curves.
ISSN:0033-5606
1464-3847
DOI:10.1093/qmath/haad026