3 papers
math.AG2025
A Looming of phantoms
Kimoi Kemboi, Daniel Krashen, Tianle Liu +6
Following Krah's method, we construct new examples of phantom categories as semiorthogonal components of the derived categories of two types of rational surfaces: the blowup of the…
math.AG2025
Full exceptional collections of vector bundles on rank-two linear GIT quotients
Daniel Halpern-Leistner, Kimoi Kemboi
We produce full strong exceptional collections consisting of vector bundles on the geometric invariant theory quotient of certain linear actions of a split reductive group of r…
math.AG2025
The Fano of lines, the Kuznetsov component, and a flop
Kimoi Kemboi, Ed Segal
The Kuznetsov component of the derived category of a cubic fourfold is a `non-commutative K3 surface'. Its symmetric square is hence a `non-commutative hyperkaehler fourfold'. We p…