Number Theory Seminar by Davide Veniani (Hannover)

Davide Veniani (Leibniz University Hannover) will give a Number Theory Seminar on Tuesday, January 19, taking place in Aud 8, starting at 15:15.

Title: Lines on K3 quartic surfaces

Abstract: On a smooth complex quartic surface there are at most 64 lines: this theorem was first stated by B. Segre in 1943, then correctly proven by Rams and Schütt about 70 years later. I will talk about a new geometric proof which extends the theorem to quartic surfaces with isolated ADE singularities. This new proof gives a deeper insight on particular configurations of lines. If time allows, I will talk about the same problem over fields of positive characteristic.