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- W2023946770 abstract "We construct an exceptional collection $$varUpsilon $$ of maximal possible length 6 on any of the Burniat surfaces with $$K_X^2=6$$ , a 4-dimensional family of surfaces of general type with $$p_g=q=0$$ . We also calculate the DG algebra of endomorphisms of this collection and show that the subcategory generated by this collection is the same for all Burniat surfaces. The semiorthogonal complement $$mathcal{A }$$ of $$varUpsilon $$ is an “almost phantom” category: it has trivial Hochschild homology, and $$K_0(mathcal{A })=mathbb{Z }_2^6$$ ." @default.
- W2023946770 created "2016-06-24" @default.
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- W2023946770 date "2013-03-15" @default.
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- W2023946770 title "Derived categories of Burniat surfaces and exceptional collections" @default.
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- W2023946770 doi "https://doi.org/10.1007/s00208-013-0917-2" @default.
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