Jet schemes of non-isolated hypersurface singularities

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Thesis Type: Postgraduate

Institution Of The Thesis: Galatasaray Üniversitesi, Fen-Edebiyat Fakültesi, Matematik, Turkey

Approval Date: 2017

Thesis Language: English

Student: BÜŞRA KARADENİZ

Supervisor: MERAL TOSUN

Open Archive Collection: AVESIS Open Access Collection

Abstract:

In this thesis, we construct the jet schemes of some non-isolated hypersurface singularities in C^3 and some isolated surface singularities in C^4 which appear as the normalisation of our non-isolated singularity. We want to determine the jet scheme structure in these. The singularities we consider are called rational triple singularities. They are of 9 types. In this work, we focus on the jet scheme structure of three of them, called E60, E70 and E07. We construct their jet graphs and toric embedded resolution. The study di ers from the existing results in the literature as it is about the case of non-isolated hypersurfaces and surface which is not monomial neither determinantal variety.