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The structure of exceptional sequences on toric varieties of Picard rank two (2112.14637v3)

Published 29 Dec 2021 in math.AG and math.CO

Abstract: For a smooth projective toric variety of Picard rank two we classify all exceptional sequences of invertible sheaves which have maximal length. In particular, we prove that unlike non-maximal sequences, they (a) remain exceptional under lexicographical reordering (b) satisfy strong height constraints in the Picard lattice (c) are full, that is, they generate the derived category of the variety.

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