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math.AG2017
Some pathologies of Fano manifolds in positive characteristic
Ilya Karzhemanov
We construct examples of Fano manifolds, which are defined over a field of positive characteristic, but not over $\com$.
math.AG2017
On RC varieties without smooth rational curves
Ilya Karzhemanov
We construct normal rationally connected varieties (of arbitrarily large dimension) not containing any smooth rational curves.