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1. Obstructions to rationality


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      Problem 1.1.

      Let $X$ be a separably rationally connected variety. Does $H^{i}(X,\mathcal{O}_{X})=0$ for $i>0$?


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          Problem 1.2.

          Look for new obstruction to diagonal decompositions / rationality.

              Cite this as: AimPL: Rational subvarieties in positive characteristic, available at http://aimpl.org/ratsubvarpos.