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Exceptional sequences of 8 line bundles on (P^1)^3

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 نشر من قبل Klaus Altmann
 تاريخ النشر 2021
  مجال البحث
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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.



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