Exceptional sequences of 8 line bundles on (P^1)^3
| Autor: | Altmann, Klaus, Altmann, Martin |
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| Rok vydání: | 2021 |
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| Druh dokumentu: | Working Paper |
| Popis: | We investigate maximal exceptional sequences of line bundles on (P^1)^3, i.e. those consisting of 2^r elements. For r=3 we show that they are always full, meaning that they generate the derived category. Everything is done in the discrete setup: Exceptional sequences of line bundles appear as special finite subsets s of the Picard group Z^r of (P^1)^r, and the question of generation is understood like a process of contamination of the whole Z^r out of an infectious seed s. Comment: 16 pages; to appear in J. Algebr. Comb |
| Databáze: | arXiv |
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