2 papers
math.AG2022
Birational geometry of Beauville-Mukai systems II: general theory in low ranks
Xuqiang Qin, Justin Sawon
Via wall-crossing, we study the birational geometry of Beauville-Mukai systems on K3 surfaces with Picard rank one. We show that there is a class of walls which are always present…
math.AG2022
Birational geometry of Beauville-Mukai systems I: the rank three and genus two case
Xuqiang Qin, Justin Sawon
We study wall-crossing for the Beauville-Mukai system of rank three on a general genus two K3 surface. We show that such a system is related to the Hilbert scheme of ten points on…