The Tjurina Transform of determinantal singularities

Helge Møller Pedersen
Universidade Federal do Ceará, Brazil

Date(s) : 10/01/2019   iCal
14 h 00 min - 15 h 00 min

Determinantal singularities is a class of singularities that have seen a lot of interest lately, especially the subclass of essentially isolated determinantal singularities (EIDS). It is possible to define two special transformations/modifications on Determinantal singularities, the Tjurina transform and its transpose. The talk will be about defining these and showing basic properties of them. We will first look on the case of generic determinantal singularities, where they are resolutions, give their homotopy type and show their relation with the Nash transform. We will next look at the general case, where we will see that the Tjurina transform is very often a local complete intersection. Lastly we will show how the Tjurina transform can be used to obtain resolutions in some special cases.



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