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math.AG2019
Critical loci and second-order singularities in arbitrary characteristic
Lucas Braune
The critical loci of a map between smooth schemes over a field are the locally closed subschemes where the differential of has constant rank.…
math.AG2019
Irrational Complete Intersections
Lucas Braune
We prove that a complete intersection of very general hypersurfaces of degree at least two in -dimensional complex projective space is not ruled (and therefore not rational)…