Computing global Ext for complexes
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912615229292544 |
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| author | Brown, Michael K. Dey, Souvik Li, Guanyu Sayrafi, Mahrud |
| author_facet | Brown, Michael K. Dey, Souvik Li, Guanyu Sayrafi, Mahrud |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_25103 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Computing global Ext for complexes Brown, Michael K. Dey, Souvik Li, Guanyu Sayrafi, Mahrud Algebraic Geometry Commutative Algebra 13D03, 14F08 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. |
| title | Computing global Ext for complexes |
| topic | Algebraic Geometry Commutative Algebra 13D03, 14F08 |
| url | https://arxiv.org/abs/2509.25103 |