Lê Cycles and Numbers of Hypersurface Singularities

David B. Massey ()
Additional contact information
David B. Massey: Northeastern University, Department of Mathematics

Chapter Chapter 7 in Handbook of Geometry and Topology of Singularities II, 2021, pp 361-401 from Springer

Abstract: Abstract The Milnor number is the most important number associated to an isolated hypersurface singularity. It is an invariant of the ambient topological-type of the hypersurface, it is effectively algebraically calculable, it determines the homotopy-type of the Milnor fiber, and its constancy in a family implies that Thom’s $$A_f$$ A f condition is satisfied and that the ambient topological-type of the hypersurface is constant (outside of possibly one dimension). In this survey, we will review results on the Lê cycles and Lê numbers—results which tell us the extent to which the Lê numbers of a non-isolated hypersurface singularity are a good generalization of the Milnor number from the isolated case.

Date: 2021
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:978-3-030-78024-1_7

Ordering information: This item can be ordered from
http://www.springer.com/9783030780241

DOI: 10.1007/978-3-030-78024-1_7

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 ().