Singularities

1998/01/27 by Alan H. Durfee, Durfee, Alan H.
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.math/9801123

28 pages, 4 figures

arxiv created 1998/01/27 · arxiv updated 2009/11/30

Abstract

This article recounts the interaction of topology and singularity theory (mainly singularities of complex algebraic varieties) which started in the early part of this century and bloomed in the 1960's with the work of Hirzebruch, Brieskorn, Milnor and others. Some of the topics are followed to the present day. (A chapter for the book "History of Topology", ed. I. M. James)

Related

• Topology of singular algebraic varieties
• Alterations and resolution of singularities
• Topology of hypersurface singularities
• The Topology of Surface Singularities
• Resolution of singularities of complex algebraic varieties and their families