111 citations · 172 across the 6 of their papers we have counts for
6 papers
Discriminants and toric K-theory
R. Paul Horja, Ludmil Katzarkov
We discuss a categorical approach to the theory of discriminants in the combinatorial language introduced by Gelfand, Kapranov and Zelevinsky. Our point of view is inspired by homo…
Toric Deligne-Mumford stacks and the better behaved version of the GKZ hypergeometric system
R. Paul Horja
We generalize the combinatorial description of the orbifold (Chen--Ruan) cohomology and of the Grothendieck ring of a Deligne--Mumford toric stack and its associated stacky fan in…
Mellin-Barnes integrals as Fourier-Mukai transforms
Lev A. Borisov, R. Paul Horja
We study the generalized hypergeometric system introduced by Gelfand, Kapranov and Zelevinsky and its relationship with the toric Deligne-Mumford (DM) stacks recently studied by Bo…
On the -theory of smooth toric DM stacks
Lev A. Borisov, R. Paul Horja
We explicitly calculate the Grothendieck -theory ring of a smooth toric Deligne-Mumford stack and define an analog of the Chern character. In addition, we calculate -theory p…
Derived Category Automorphisms from Mirror Symmetry
Richard Paul Horja
Inspired by the homological mirror symmetry conjecture of Kontsevich, we construct new classes of automorphisms of the bounded derived category of coherent sheaves on a smooth Cala…
Hypergeometric functions and mirror symmetry in toric varieties
Richard Paul Horja
We study aspects related to Kontsevich's homological mirror symmetry conjecture in the case of Calabi-Yau complete intersections in toric varieties. In a 1996 lecture at Rutgers Un…