Michael C Loper

activity

20192025

most citedHomological and combinatorial aspects of virtually Cohen--Macaulay sheaves

16 citations · 26 across the 4 of their papers we have counts for

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3 papers · 1 filter

math.AG2019

Virtual Complete Intersections in $P^{1} \times P^{1}$

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★ 10 cited

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…

math.AC2019

What makes a complex a virtual resolution?

Michael C. Loper

Virtual resolutions are homological representations of finitely generated $Pic (X)$ -graded modules over the Cox ring of a smooth projective toric variety. In this paper, we i…

Virtual Complete Intersections in P1×P1

The Virtual Resolutions Package for Macaulay2

What makes a complex a virtual resolution?

Virtual Complete Intersections in $P^{1} \times P^{1}$