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Deformation of singularities via L_∞-algebras

2004/07/22 by Frank Schuhmacher, Schuhmacher, Frank
Mathematics · #13D10 #32S30 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Complex Variables (math.CV) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #math.CV #math.QA #msc:13D10 #msc:32S30

paper · pdf · doi:10.48550/arxiv.math/0407390

7 pages

arxiv created 2004/07/22 · openalex publication_date 2004/07/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is an addendum to the paper ``Deformation of L_∞-Algebras'' of the same author. We explain in which way the deformation theory of L_∞-algebras extends the deformation theory of singularities. We show that the construction of semi-universal deformations of L_∞-algebras gives explicit formal semi-universal deformations of isolated singularities.

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