16 citations · 26 across the 4 of their papers we have counts for
5 papers
First is the worst, second is the best? A Markov chain analysis of the basketball game knockout
Andrew Flatz, Michael C. Loper, Lezlie Weyer
The game of Knockout is a classic playground game played with two basketballs. This paper uses a Markov process to analyze each player's probability of winning the game given their…
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…
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…
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…
What makes a complex a virtual resolution?
Michael C. Loper
Virtual resolutions are homological representations of finitely generated -graded modules over the Cox ring of a smooth projective toric variety. In this paper, we i…