23 citations · 23 across the 3 of their papers we have counts for
5 papers
Complexity Classes and Completeness in Algebraic Geometry
M. Umut Isik
We study the computational complexity of sequences of projective varieties. We define analogues of the complexity classes P and NP for these and prove the NP-completeness of a sequ…
On the Derived Categories of Degree d Hypersurface Fibrations
Matthew Ballard, Dragos Deliu, David Favero +2
We provide descriptions of the derived categories of degree hypersurface fibrations which generalize a result of Kuznetsov for quadric fibrations and give a relative version of…
Homological Projective Duality via Variation of Geometric Invariant Theory Quotients
Matthew Ballard, Dragos Deliu, David Favero +2
We provide a geometric approach to constructing Lefschetz collections and Landau-Ginzburg Homological Projective Duals from a variation of Geometric Invariant Theory quotients. Thi…
Resolutions in factorization categories
Matthew Ballard, Dragos Deliu, David Favero +2
Generalizing Eisenbud's matrix factorizations, we define factorization categories. Following work of Positselski, we define their associated derived categories. We construct specif…
Equivalence of the Derived Category of a Variety with a Singularity Category
M. Umut Isik
We prove an equivalence between the derived category of a variety and the equivariant/graded singularity category of a corresponding singular variety. The equivalence also holds at…