Derived Category of toric varieties with Picard number three

Authors

  • Arijit Dey
  • Michał Lasoń
  • Mateusz Michaƚek

Keywords:

Derived Categories, Toric Fano 3-Folds, Frobenius Splitting, Full Strongly Excep- tional Sequences, King’s conjecture

Abstract

We construct a full, strongly exceptional collection of line bundles on the variety X that is the blow up of the projectivization of the vector bundle O_{Pn−1} ⊕ O_{Pn−1}(b_1) along a linear space of dimension n − 2, where b_1 is a non-negative integer.

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Vol. 64 No. 2 (2009)

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Articoli

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