3 citations · 7 across the 5 of their papers we have counts for
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Residual categories of quadric surface bundles
Fei Xie
We show that the residual categories of quadric surface bundles are equivalent to the (twisted) derived categories of some scheme under the following hypotheses. Case 1: The quadri…
Nodal quintic del Pezzo threefolds and their derived categories
Fei Xie
We construct a Kawamata type semiorthogondal decomposition for the bounded derived category of coherent sheaves of nodal quintic del Pezzo threefolds, decomposing the bounded deriv…
Derived Categories of Quintic Del Pezzo Fibrations
Fei Xie
We provide a semiorthogonal decomposition for the derived category of fibrations of quintic del Pezzo surfaces with rational Gorenstein singularities. There are three components, t…
Vanishing on toric surfaces
Yuan Wang, Fei Xie
We prove the Kawamata-Viehweg vanishing and another Kodaira-type vanishing for projective toric surfaces over arbitrary fields.
Toric surfaces over an arbitrary field
Fei Xie
We study toric varieties over an arbitrary field with an emphasis on toric surfaces in the Merkurjev-Panin motivic category of "K-motives". We explore the decomposition of certain…