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- W3099593721 abstract "We begin a systematic investigation of derived categories of smooth projective toric varieties defined over an arbitrary base field. We show that, in many cases, toric varieties admit full exceptional collections. Examples include all toric surfaces, all toric Fano 3-folds, some toric Fano 4-folds, the generalized del Pezzo varieties of Voskresenskii and Klyachko, and toric varieties associated to Weyl fans of type $A$. Our main technical tool is a completely general Galois descent result for exceptional collections of objects on (possibly non-toric) varieties over non-closed fields." @default.
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- W3099593721 date "2019-06-16" @default.
- W3099593721 modified "2023-09-23" @default.
- W3099593721 title "On derived categories of arithmetic toric varieties" @default.
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- W3099593721 doi "https://doi.org/10.2140/akt.2019.4.211" @default.
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