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This document discusses the cohomological Brauer group of toric varieties, focusing on the second étale cohomology group with coefficients in the sheaf of units. The authors present a theorem relating the cohomology groups of a toric variety associated with a fan, and they provide methods for calculating these groups using Čech cohomology and derived functor cohomology. The paper concludes with results that show the main findings do not extend to cohomology groups of degrees greater than 2.
- Author
- qianfanhu7
- Language
- EN