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math.AG2025
Separable rational connectedness and -plane sections of hypersurfaces
Roya Beheshti, Shibashis Mukhopadhyay, Eric Riedl
Let X be a smooth hypersurface of degree d in P^n over an algebraically closed field of characteristic p. We show that X must be separably rationally connected and must contain a f…
math.AG2024
A transfer principle for unirationality
Daniel Erman, Eric Riedl
We apply ideas related to the strength of polynomials to provide new cases of unirational hypersurfaces. It is famously known that hypersurfaces that are smooth in very high codime…