Stability of Halphen pencils of index two
Date: 09 MARCH 2021 from 15:00 to 16:30
Event location: https://unibo.zoom.us/j/3851606155
In this talk I will present some results about the GIT stability of Halphen pencils of index two under the action of SL(3). These are pencils of plane curves of degree six having nine (possibly infinitely near) base points of multiplicity two. Inspired by the work of Miranda on pencils of plane cubics, I will explain how we can explore the geometry of the associated rational elliptic surfaces.