Strata of discriminantal arrangements

Journal of Singularities
volume 18 (2018), 440-454

Received: 18 December 2017. Accepted: 5 June 2018.

DOI: 10.5427/jsing.2018.18w

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Abstract:

We give an explicit description of the multiplicities of codimension two strata of discriminantal arrangements introduced by Manin and Schechtman. As applications, we discuss the connection of these results with properties of Gale transform and we calculate the fundamental groups of the complements to discriminantal arrangements.

Keywords:

discriminantal arrangements, braid groups, fundamental groups, Gale transform

Mathematical Subject Classification:

(2000) 52C35, 52B35, 20F36, 14-XX, 05B35

Author(s) information: