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Enriques Surfaces of Degree 16 and Pencils of Plane Cubic Curves

Student: Marshakov Evgeny

Supervisor: Sergey Galkin

Faculty: Faculty of Mathematics

Educational Programme: Mathematics (Bachelor)

Year of Graduation: 2016

In this paper we consder the Enriques surface of degree 16 and relate it with a rational elliptic surface, which is determined by a pencil of cubic curves on the projective plane. The base locus of this pencil determines 18 structures of an elliptic bundle on the Enriques surface.

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