Susan J. Sierra

G-algebras, Twistings, and Equivalences of Graded Categories

Given

Classifying birationally commutative projective surfaces

{\mathbb Z}

Rings graded equivalent to the Weyl algebra

-graded rings A and B, we ask when the graded module categories gr-A and gr-B are equivalent. Using

Some projective surfaces of GK-dimension 4

{\mathbb Z}

Noncommutative blowups of elliptic algebras

-algebras, we relate the Morita-type results of Áhn-Márki and del Río to the twisting systems introduced by Zhang, and prove, for example: TheoremIf A and B are

GEOMETRIC IDEALIZER RINGS

{\mathbb Z}

Classifying orders in the Sklyanin algebra

-graded rings, then: (1) A is isomorphic to a Zhang twist of B if and only if the

Algebras in which every subalgebra is noetherian

{\mathbb Z}

Geometric algebras on projective surfaces

-algebras

Recovering Quivers from Derived Quiver Representations

\overline{A} = \bigoplus_{i,j \in {\mathbb Z}} A_{j-i}