Computing the Lines of a Smooth Cubic Surface
发布时间：2023年05月26日
浏览次数：2412
发布者: Wenqiong Li
主讲人： Hossein Movasati (IMPA and BIMSA)
活动时间： 从 2023-05-30 14:00 到 15:00
场地： 北京国际数学研究中心，全斋全29教室
We give an explicit formula for the 27 lines of a smooth cubic surface near the Fermat surface. Our formula involves convergent power series with coefficients in the extension of rational numbers with the sixth root of unity. Our main tool is the Artinian Gorenstein ring of socle two attached to such lines. If times permits, I will also describe how one can use similar tools to construct a conjectural counterexample to a conjecture of Harris on special components of Noether-Lefschetz loci for degree eight surfaces.
