Bouquet decomposition for Determinantal Milnor fibers

Journal of Singularities
volume 22 (2020), 190-204

Received: 10 January 2019. Received in revised form: 23 December 2019.

DOI: 10.5427/jsing.2020.22m

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Abstract:

We provide a bouquet decomposition for the determinantal Milnor fiber of an Essentially Isolated Determinantal Singularity (EIDS) of arbitrary type. The building blocks of the decomposition are (suspensions of) hyperplane sections in general position off the origin of the generic determinantal varieties. For the special case of (2 x n)-matrices we give a full description of the homotopy types of the determinantal Milnor fibers as a wedge of spheres.

Author(s) information:

Matthias Zach
Institut für Mathematik
FB 08 - Physik, Mathematik und Informatik
Johannes Gutenberg-Universität Staudingerweg 9, 4. OG
55128 Mainz, Germany