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20212026
most citedDifferential Modules with Complete Intersection Homology

1 citations · 1 across the 8 of their papers we have counts for

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8 papers

math.AG2026

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 $…

math.AG2026

Obstructions to embedding singular curves in toric varieties

Maya Banks, Izzet Coskun, Kevin Tucker

For every integer , we show that there exists an irreducible, reduced curve which embeds in but in no projective normal toric variety of dimension less tha…

math.AC2026

Varieties of minimal degree in weighted projective space

Maya Banks, Ritvik Ramkumar

We initiate a study of varieties of minimal degree in weighted projective spaces. We call a weighted projective space divisible if fo…

math.AC2024

The multigraded BGG correspondence in Macaulay2

Maya Banks, Michael K. Brown, Tara Gomes +3

We give an overview of a Macaulay2 package for computing with the multigraded BGG correspondence. This software builds on the package BGG due to Abo-Decker-Eisenbud-Schreyer-Smith-…

math.AC2023

Differential modules and Deformations of Free Complexes

Maya Banks, Keller VandeBogert

We classify (up to quasi-isomorphism) the free differential modules whose homology is equal to a given module by developing a theory for deforming an arbitrary free complex int…

math.AC2022

Boij-Söderberg Conjectures for Differential Modules

Maya Banks

Boij-Söderberg theory gives a combinatorial description of the set of Betti tables belonging to finite length modules over the polynomial ring . We posit t…

math.AC2022★ 1 cited

Differential Modules with Complete Intersection Homology

Maya Banks, Keller VandeBogert

Differential modules are natural generalizations of complexes. In this paper, we study differential modules with complete intersection homology, comparing and contrasting the theor…

math.AC2021

Subcomplexes of Certain Free Resolutions

Maya Banks, Aleksandra Sobieska

What are the subcomplexes of a free resolution? This question is simple to state, but the naive approach leads to a computational quagmire that is infeasible even in small cases. I…