Topology of Generic Determinantal Sets and Newton Polytopes

Student: Rudko Yury

Supervisor: Alexander Isaakovich Esterov

Educational Programme: Mathematics (Bachelor)

Final Grade: 8

Year of Graduation: 2017

Abstract algebraic varieties are difficult to study, therefore, narrow classes of varieties such as complete intersections are often studied. The determinantal varieties are one of the broadest classes. In this paper we use convex and toric geometry, and also singularity theory to study the Euler characteristic of some generic determinantal sets.

Full text (added June 10, 2017)

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