
## 1. Obstructions to rationality

1. #### Problem 1.1.

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