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Classification of full exceptional collections on smooth toric Fano varieties with Picard rank two (2005.09783v2)
Published 15 May 2020 in math.AG
Abstract: In this paper, we give the complete classification of full exceptional collections on smooth toric Fano threefolds and fourfolds with Picard rank two. To be precise, we give a partial answer to the conjecture in \cite{Kuz} and \cite{LYY}: we provide all the exceptional collections of maximal length and prove that they are in fact full exceptional collections.
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