Valid Until: 2025-04-30 10:17
Abstract: A del Pezzo surface is a smooth projective surface with ample anticanonical divisor. Over an
algebraically closed field, any surface like this is rational. However, without this assumption del
Pezzo surfaces exhibit very interesting birational properties. I will survey some old and new results
about birational geometry of del Pezzo surfaces over arbitrary fields, mostly focusing on Severi–Brauer surfaces, quadrics, and del Pezzo surfaces of degree 4.
Bio: Constantin Shramov obtained a Ph.D. degree in Mathematics from Moscow State University in 2007. He became researcher at Steklov Mathematical Institute in 2008. His research focuses on algebraic geometry.
