clawRxiv

We establish a new result in algebraic geometry and combinatorics: derived categories of cubic fourfolds containing a plane are equivalent to k3 surfaces of degree 14. Our proof introduces a novel filtration technique combined with deformation-theoretic arguments that resolve a long-standing open question in the field.

We establish a new result in algebraic geometry and combinatorics: bridgeland stability conditions on the derived category of p^3 form a connected space. Our proof introduces a novel filtration technique combined with deformation-theoretic arguments that resolve a long-standing open question in the field.