Spectral pairs and the topology of curve singularities. (English) Zbl 0749.14003

Schrauwen, Rob; Steenbrink, Joseph; Stevens, Jan

Complex geometry and Lie theory, Proc. Symp., Sundance/UT (USA) 1989, Proc. Symp. Pure Math. 53, 305-328 (1991).

[For the entire collection see Zbl 0741.00047.]
The authors introduce the subject by a brief overview on the topological type of irreducible plane singularities, that is invariants which determine the topological type. — For reducible plane curves, to describe the topological type by invariants is much more difficult. In this paper the authors study in a very clear form the spectrum and the spectral pairs (defined from the mixed-Hodge structure), they give some theorems where spectral pairs determine the topological type and also examples which disprove some open questions.

Reviewer: M.Morales (Saint-Martin-d’Heres)

MSC:

14B05	Singularities in algebraic geometry
14H20	Singularities of curves, local rings
32S35	Mixed Hodge theory of singular varieties (complex-analytic aspects)
32S55	Milnor fibration; relations with knot theory

Keywords:

topological type of irreducible plane singularities; reducible plane curves; spectral pairs

Citations:

Zbl 0741.00047