@article{db5dd1d2ef1a40f4bd5d51815be571cf,
title = "Patchworking singular algebraic curves II",
abstract = "In this paper we present various particular versions of the general patchworking procedure for the construction of reduced algebraic curves with prescribed singularities on algebraic surfaces. Among the main examples are a deformation of reducible algebraic curves on reducible algebraic surfaces in the presence of non-transverse intersections of a curve with the singular locus of a surface, and a deformation of curves with multiple components. As an application we deduce a significant asymptotical improvement for the sufficient existence criterion of algebraic curves with arbitrary prescribed singularities in given linear systems on smooth projective algebraic surfaces.",
author = "Eugenii Shustin and Ilya Tyomkin",
note = "Funding Information: * Both authors were partially supported by the lterman Minkowsky-Minerva Center for Geometry at Tel Aviv University, and by grant no. G-616-15.6/99 from the German Israeli Foundation for Research and Development. The first author was also supported by the Bessel Research Award from the Alexander von Humboldt Foundation. Received April 4, 2004",
year = "2006",
doi = "10.1007/BF02777359",
language = "אנגלית",
volume = "151",
pages = "145--166",
journal = "Israel Journal of Mathematics",
issn = "0021-2172",
publisher = "Springer New York",
}