Bridgeland stability conditions and skew lines on ${\mathbb{P}}^3$

Sammy Alaoui Soulimani, Martin G. Gulbrandsen

Inspired by Schmidt's work on twisted cubics, we study wall crossings in Bridgeland stability, starting with the Hilbert scheme ${\mathrm{Hilb}}^{2m+2}({\mathbb{P}}^3)$ parametrizing p…