We prove a motivic analogue of Steenbrink's conjecture [25, Conjecture 2.2] on the Hodge
spectrum (proved by M. Saito in [21]). To achieve this, we construct and compute motivic …

In this article we study Weinstein structures endowed with a Lefschetz fibration in terms of
the Legendrian front projection. First, we provide a systematic recipe for translating from a …

In the first volume of this survey (Arnol'd et al.(1988), hereafter cited as" EMS 6") we
acquainted the reader with the basic concepts and methods of the theory of singularities of …

d,- , (FI), which is free. Page 1 IWI VARIATION MAPPINGS ON SINGULARITIES WITH A l-DIMENSIONAL
CRITICAL LOCUS DIRK SIERSMA (Rtceired in ferisedform 23 February 1990) 1 …

We consider the Milnor fibre of an isolated singularity ƒ:(X, 0)→(C, 0) on a reduced, Whitney
stratified space germ (X, 0) and prove that it is homotopy equivalent to a bouquet of repeated …

Let f: X~ C be a holomorphic function on a complex manifold. Using the monodromy and
mixed Hodge structure on the cohomology of Milnor fiber, we can associate the spectrum Sp …

The Vanishing Topology of Non Isolated Singularities Page 1 The Vanishing Topology of Non
Isolated Singularities Dirk Siersma Mathematisch Instit'Uut, Universiteit Utrecht (siersma~math.uu.nl) …

In the study of algebraic/analytic varieties a key aspect is the description of the invariants of
their singularities. This book targets the challenging non-isolated case. Let f be a complex …

Partial resolutions and the zeta-function of a singularity Page 1 Comment. Math. Helv. 72 (1997)
244–256 0010-2571/97/020244-13 $ 1.50+0.20/0 c© 1997 Birkhäuser Verlag, Basel …

An important invariant of a germ of analytic function f:(C"'1, 0)~(C, 0) is its Milnor fiber F.
Milnor [21] proved that if f has an isolated singularity at the origin then the homotopy type of …