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Toric surfaces over arbitrary fields
- Xie, Fei
- Advisor(s): Haesemeyer, Christian
Abstract
We study toric varieties over arbitrary fields with an emphasis on toric surfaces in the Merkurjev-Panin category of ``K-motives". We explore the decomposition of certain toric varieties as K-motives into products of central simple algebras (CSA), the geometric and topological information encoded in these CSAs, and the relationship between the decomposition of the K-motive and the semiorthogonal decomposition of the derived category. We obtain the information mentioned above for toric surfaces by classifying all minimal smooth projective toric surfaces.
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