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math.AG2021★ 2 cited
Derived categories of nodal del Pezzo threefolds
Nebojsa Pavic, Evgeny Shinder
We give a complete answer for the existence of Kawamata type semiorthogonal decompositions of derived categories of nodal del Pezzo threefolds. More precisely, we show that nodal d…
math.AG2021
The diagonal of quartic fivefolds
Nebojsa Pavic, Stefan Schreieder
We show that a very general quartic hypersurface in over a field of characteristic different from 2 does not admit a decomposition of the diagonal, hence is not retr…