3 papers
math.AG2023
A Counterexample to a Question on Grothendieck Groups of Schemes
Amal Mattoo
If an element of the Grothendieck group of the derived category of a scheme is locally represented by perfect complexes, then can the original element be represented by a perfect c…
math.CO2020
Saturation of Newton polytopes of type A and D cluster variables
Amal Mattoo, Melissa Sherman-Bennett
We study Newton polytopes for cluster variables in cluster algebras of types A and D. A famous property of cluster algebras is the Laurent phenomenon: each cluster…
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…