Derived equivalences arising from Cremona transformations II: Cubic fourfolds

It is conjectured that two cubic fourfolds are birational if their associated K3 categories are equivalent. We prove this conjecture for very general cubic fourfolds of discriminant 20, where the birational maps are produced via certain Cremona transformations defined by Veronese surfaces. Using these birational maps, we find new rational cubic fourfolds. Joint work with Kuan-Wen Lai.

via Zoom Video Conferencing: https://harvard.zoom.us/j/837429475