Ree, Tijmen van der (2026) Homological Algebra of Band Schemes. Master's Thesis / Essay, Mathematics.
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Abstract
In this thesis we develop a theory of sheaf cohomology for band schemes based on Čech cohomology. In most other formalisms of F1-geometry, a definition of derived sheaf cohomology is ill-defined, but band schemes have enough structure to them where Čech cohomology appears suitable. We also state and prove various results that one might expect a theory of sheaf cohomology to satisfy, with the notable exception that the long exact sequence in cohomology is not as robust as one might hope for. In the first two sections we recall and introduce various notions that form the commutative algebra of bands and the geometry of band schemes.
| Item Type: | Thesis (Master's Thesis / Essay) |
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| Supervisor name: | Lorscheid, O. and Veen, R.I. van der |
| Degree programme: | Mathematics |
| Thesis type: | Master's Thesis / Essay |
| Language: | English |
| Date Deposited: | 03 Jul 2026 15:06 |
| Last Modified: | 03 Jul 2026 15:06 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/37342 |
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