Abstract for the talk on 14.04.2020 (17:00 h)Nonlinear Algebra Seminar Online (NASO)
Rosa Winter (Leiden University)
Rational points on del Pezzo surfaces of degree 1
See the video of this talk.
Del Pezzo surfaces are classified by their degree, an integer between 1 and 9. Famous examples are those of degree 3, which are cubic surfaces in \(P^3\). In this talk I will focus on del Pezzo surfaces of degree 1. After briefly describing their geometry, I will talk about the set of Q-valued (rational) points on such a surface. I will show what is known about this set so far, and which questions are still open.