Computing global Ext for complexes
Algebraic Geometry
2025-09-30 v1 Commutative Algebra
Abstract
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 algorithm in Macaulay2. In particular, our results yield methods for computing derived global sections of bounded complexes of coherent sheaves and mutations of exceptional collections.
Cite
@article{arxiv.2509.25103,
title = {Computing global Ext for complexes},
author = {Michael K. Brown and Souvik Dey and Guanyu Li and Mahrud Sayrafi},
journal= {arXiv preprint arXiv:2509.25103},
year = {2025}
}
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9 pages