Deforming monomial space curves into set-theoretic complete intersection singularities

Michel Granger and Mathias Schulze

Journal of Singularities
volume 17 (2018), 413-427

Received: 2 May 2018. Received in revised form: 17 December 2018

DOI: 10.5427/jsing.2018.17s

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Abstract:

We deform monomial space curves in order to construct examples of set-theoretical complete intersection space curve singularities. As a by-product we describe an inverse to Herzog's construction of minimal generators of non-complete intersection numerical semigroups with three generators.

Keywords:

Set-theoretic complete intersection, space curve, singularity, deformation, lattice ideal, determinantal variety

Mathematical Subject Classification (2010):

Primary 32S30; Secondary 14H50, 20M25

Author(s) information:

Michel Granger	Mathias Schulze
Département de Mathématiques	Department of Mathematics
LAREMA, CNRS UMR	TU Kaiserslautern
Université d'Angers	67663 Kaiserslautern, Germany
49045 Angers, France
email: granger@univ-angers.fr	email: mschulze@mathematik.uni-kl.de