Fatma Karaoğlu


Tekirdağ Namık Kemal University


Thursday, March 4, 2021 - 3:00pm to 4:00pm


Zoom: https://uci.zoom.us/j/99322295399


A cubic surface is an algebraic variety of degree three in projective three space.  We will study cubic surfaces over different fields.  We are interested in the number of points and lines on a smooth cubic surface.  In this talk, we will focus on smooth cubic surfaces with at least 9 lines.  There are three cases with 27, 15 and 9 lines, respectively.  We will describe these surfaces in terms of normal forms, each of which involves either 4 or 6 parameters over the given field.  Using birational maps, the rational pooints on these normal forms will be described explicitly.