10 citations · 25 across the 13 of their papers we have counts for
7 papers · 1 filter
Weighted Syzygies of Pointed Curves
Maya Banks, John Cobb, Mahrud Sayrafi
For a point on a smooth projective curve of genus , the section ring can be minimally presented as a quotient where is a $…
Seshadri Regions and the Asymptotic Shape of Multigraded Regularity
Juliette Bruce, Lauren Cranton Heller, Mahrud Sayrafi +1
We introduce the Seshadri region of a subvariety, a convex region packaging the classical Seshadri constants with respect to every line bundle simultaneously. We develop the theory…
Computing global Ext for complexes
Michael K. Brown, Souvik Dey, Guanyu Li +1
We give a computational algorithm for computing Ext groups between bounded complexes of coherent sheaves on a projective variety, and we describe an implementation of this algorith…
Connection Matrices in Macaulay2
Paul Görlach, Joris Koefler, Anna-Laura Sattelberger +4
In this article, we describe the theoretical foundations of the Macaulay2 package ConnectionMatrices and explain how to use it. For a left ideal in the Weyl algebra that is of fini…
Splitting of Vector Bundles on Toric Varieties
Mahrud Sayrafi
We prove a Horrocks-type splitting criterion for arbitrary smooth projective toric varieties under an additional hypothesis similar to the case of products of projective spaces by…
A short resolution of the diagonal for smooth projective toric varieties of Picard rank 2
Michael K. Brown, Mahrud Sayrafi
Given a smooth projective toric variety of Picard rank 2, we resolve the diagonal sheaf on by a linear complex of length consisting of finite direct sums…
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…