3 papers
math.AC2020
Homological and combinatorial aspects of virtually Cohen--Macaulay sheaves
Christine Berkesch, Patricia Klein, Michael C. Loper +1
When studying a graded module over the Cox ring of a smooth projective toric variety , there are two standard types of resolutions commonly used to glean information: free r…
math.AG2019
Virtual Complete Intersections in
Jiyang Gao, Yutong Li, Michael C. Loper +1
The minimal free resolution of the coordinate ring of a complete intersection in projective space is a Koszul complex on a regular sequence. In the product of projective spaces $\m…
math.AG2019
The Virtual Resolutions Package for Macaulay2
Ayah Almousa, Juliette Bruce, Michael C. Loper +1
We introduce the VirtualResolution package for the computer algebra system Macaulay2. This package has tools to construct, display, and study virtual resolutions for products of pr…