Nodal quintic del Pezzo threefolds and their derived categories
arXiv:2108.03186
Abstract
We construct a Kawamata type semiorthogondal decomposition for the bounded derived category of coherent sheaves of nodal quintic del Pezzo threefolds, decomposing the bounded derived category into bounded derived categories of finite dimensional algebras. This is achieved by constructing birational maps from nodal quintic del Pezzo threefolds to quadric surface fibrations over the projective line.
24 pages. v2: Prop 2.2(ii) fixed and minor changes to section 2.2; v3: various improvement based on the suggestions of the referee, to appear in Math. Z