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- W2052973465 abstract "Building on the work of Nogin cite{Nogin}, we prove that the braid group $B_4$ acts transitively on full exceptional collections of vector bundles on Fano threefolds with $b_2=1$ and $b_3=0$. Equivalently, this group acts transitively on the set of simple helices (considered up to a shift in the derived category) on such a Fano threefold. We also prove that on threefolds with $b_2=1$ and very ample anticanonical class, every exceptional coherent sheaf is locally free." @default.
- W2052973465 created "2016-06-24" @default.
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- W2052973465 date "2007-10-23" @default.
- W2052973465 modified "2023-09-26" @default.
- W2052973465 title "Simple helices on Fano threefolds" @default.
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