36 citations · 101 across the 10 of their papers we have counts for
12 papers
Normal extensions of twisted graded Calabi--Yau algebras
Jason Gaddis, Dennis Keeler
We discuss three families of twisted graded Calabi--Yau algebras of dimension three that arise through the process of normal extensions. In addition to the twisted Calabi--Yau cond…
Quiver down-up algebras of type A
Jason Gaddis, Dennis Keeler
We present a generalization of down-up algebras, originally defined by Benkart and Roby. These quiver down-up algebras arise as quotients of the double of the extended Dynkin quive…
Arithmetically nef line bundles
Dennis Keeler
Let be a line bundle on a scheme , proper over a field. The property of being nef can sometimes be "thickened", allowing reductions to positive characteristic. We call s…
Noncommutative ampleness from finite endomorphisms
D. S. Keeler, K. Retert
Let be a projective integral scheme with endomorphism , where is finite, but not an automorphism. We examine noncommutative ampleness of bimodules defined by . In con…
Fujita's Conjecture and Frobenius amplitude
Dennis S. Keeler
We prove a version of Fujita's Conjecture in arbitrary characteristic, generalizing results of K.E. Smith. Our methods use the Frobenius morphism, but avoid tight closure theory. W…
Ample filters and Frobenius amplitude
Dennis S. Keeler
Let be a projective scheme over a field. We show that the vanishing cohomology of any sequence of coherent sheaves is closely related to vanishing under pullbacks by the Froben…