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Geometry of Singular Double Covers

Student: Kuznetsova Alexandra

Supervisor: Konstantin Shramov

Faculty: Faculty of Mathematics

Educational Programme: Mathematics (Master)

Final Grade: 9

Year of Graduation: 2018

In this work we study stably rationally connected threefolds which are not rational. The first example of such variety was introduced by M.\,Artin and D.\,Mumford, it was a nodal quartic double solid branched over a quartic with 10 nodes. Then S.\,Endrass was showed that Artin——Mumford family of quartic is unique with non-trivial Artin-Mumford obstruction in the class of nodal quartics. We are going to consider sextic double solids. We specify the minimal type of sextic surfaces, such that the double solid has a non-trivial obstruction and then study double solids of minimal type.

Full text (added June 4, 2018)

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