Given any toric subvariety Y of a smooth toric variety X of codimension k, we construct a
length k resolution of under the map of toric Frobenius. The resolutions are built from a …

Novel nonstandard techniques for the computation of cohomology classes on toric varieties
are summarized. After an introduction of the basic definitions and properties of toric …

Given a smooth projective toric variety X of Picard rank 2, we resolve the diagonal sheaf on
X× X by a linear complex of length dim⁡ X consisting of finite direct sums of line bundles. As …

In this article we consider exceptional sequences of invertible sheaves on smooth complete
rational surfaces. We show that to every such sequence one can associate a smooth …

We show that the base spaces of the semiuniversal unfoldings of some weighted
homogeneous singularities can be identified with moduli spaces of A∞ A_∞‐structures on …

We develop an analogue of Eisenbud–Fløystad–Schreyer's Tate resolutions for toric
varieties. Our construction, which is given by a noncommutative analogue of a Fourier …

Mirror symmetry for a toric variety involves Laurent polynomials whose symplectic topology
is related to the algebraic geometry of the toric variety. We show that there is a monodromy …

We show that the derived category of coherent sheaves on the quotient stack of the affine
plane by a finite small subgroup of the general linear group is obtained from the derived …

In this paper, we construct infinitely many examples of toric Fano varieties with Picard
number three, which do not admit full exceptional collections of line bundles. In particular …

Hochschild Dimensions of Tilting Objects Page 1 M. Ballard and D. Favero (2012) “Hochschild
Dimensions of Tilting Objects,” International Mathematics Research Notices, Vol. 2012, No. 11 …