Patchworking singular algebraic curves I

Eugenii Shustin, Ilya Tyomkin

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

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
Volume151
DOIs
StatePublished - 15 May 2006
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics (all)

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