Patchworking singular algebraic curves I

Eugenii Shustin*, Ilya Tyomkin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


In this paper we present a general patchworking procedure for the construction of reduced singular curves having prescribed singularities and belonging to a given linear system on algebraic surfaces. It originates in the Viro "gluing" method for the construction of real non-singular algebraic hypersurfaces. The general procedure includes almost all known particular modifications, and goes far beyond. Some applications and examples illustrate the construction.

Original languageEnglish
Pages (from-to)125-144
Number of pages20
JournalIsrael Journal of Mathematics
StatePublished - 2006


FundersFunder number
Herman Minkowsky-Minerva Center for Geometry
Alexander von Humboldt-Stiftung
German-Israeli Foundation for Scientific Research and Development
Tel Aviv UniversityG-616-15.6/99


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