Bilkent Üniversitesi ODTÜ-Bilkent Cebirsel Geometri Seminerleri
Maximal configurations of rational curves on K3-surfaces of high degrees
Slawomir Rams
Jagiellonian, Polonya
One of unexpected consequences of the orbibundle Miyaoka-Yau-Sakai inequality is a bound on the maximal number of rational degree-d curves on smooth complex K3-surfaces of given degree obtained by Miyaoka in 2009. After recalling the necessary notions, in my talk I will present various results concerning the question whether the above bound is sharp for rational (resp. smooth rational) curves on K3-surfaces of high degree.
Based on joint work with M. Schuett (Hannover) and A. Degtyarev (Ankara).
NOT:
One day before the seminar, an announcement with the Zoom meeting link will be sent to those who registered with Sertöz. If you have registered before for one of the previous talks, there is no need to register again; you will automatically receive a link for this talk too. If you have not registered before, please contact him at sertoz@bilkent.edu.tr.
