Equisingular Families of Projective Curves

Gert-Martin Greuel (), Christoph Lossen () and Eugenii Shustin ()
Additional contact information
Gert-Martin Greuel: TU Kaiserslautern, Fachbereich Mathematik
Christoph Lossen: TU Kaiserslautern, Fachbereich Mathematik
Eugenii Shustin: TU Kaiserslautern, Fachbereich Mathematik

A chapter in Global Aspects of Complex Geometry, 2006, pp 171-209 from Springer

Abstract: Summary In this survey, we report on progress concerning families of projective curves with fixed number and fixed (topological or analytic) types of singularities. We are, in particular, interested in numerical, universal and asymptotically proper sufficient conditions to guarantee the nonemptyness, T-smoothness and irreducibility of the variety of all projective curves with prescribed singularities in a fixed linear system. We also discuss the analogous problem for hypersurfaces of arbitrary dimension with isolated singularities, and we close with a section on open problems and conjectures.

Keywords: Singular Point; Plane Curf; Simple Singularity; Enumerative Geometry; Plane Curve Singularity (search for similar items in EconPapers)
Date: 2006
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-35480-2_5

Ordering information: This item can be ordered from
http://www.springer.com/9783540354802

DOI: 10.1007/3-540-35480-8_5

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().