Seminars & Colloquia Calendar
A journey from the octonionic $P^2$ to a fake $P^2$
Lev Borisov, Rutgers
Location: https://rutgers.zoom.us/j/95075528338
Date & time: Wednesday, 09 September 2020 at 2:00PM - 3:00PM
Abstract: This is joint work with Anders Buch and Enrico Fatighenti. We discover a family of surfaces of general type with \(K^2=3\) and \(p=q=0\) as free \(C_{13}\) quotients of special linear cuts of the octonionic projective plane \(\mathbb O \mathbb P^2\). A special member of the family has \(3\) singularities of type \(A_2\), and is a quotient of a fake projective plane, which we construct explicitly.