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Smooth limits of plane curves of prime degree and Markov numbers
Kristin DeVleming, David Stapleton
For prime degree hypersurfaces of dimension at least 3, Mori asked if every smooth proper limit is still a hypersurface. Interestingly in dimensions 1 and 2, this is not the case.…
math.AG2022
Fano hypersurfaces with no finite order birational automorphisms
Nathan Chen, Lena Ji, David Stapleton
We use the specialization homomorphism for the birational automorphism group to study finite order birational automorphisms. For a family of varieties over a DVR, we prove that a b…