Middle East Technical University ODTÜ-Bilkent Algebraic Geometry Seminars

Which K3 surfaces doubly cover an Enriques Surface
Oğuzhan Yörük
Bilkent University, Turkey
Özet : K3 surfaces and Enriques Surfaces are two closely related objects in Algebraic Geometry. It is known that the unramified double cover of an Enriques Surface X defined by the torsion class K_X is an algebraic K3 surface. Also, conversely, if a K3 surface X admits a fixed point free involution ι, then the quotient surface X/ι is an Enriques Surface. In this talk we will examine, following Keum's work, under which circumstances a K3 surface will admit a fixed point free involution, hence, will cover an Enriques Surface and we will give some applications for this characterization.
  Tarih : 10.11.2017
  Saat : 15:40
  Yer : Mathematics Seminar Room, ODTU.
  Dil : English