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math.AC2020
Bézoutians and injectivity of polynomial maps
Stephen McKean
We prove that an endomorphism of affine space is injective on rational points if its Bézoutian is constant. Similarly, is injective at a given rational point if its reduced…
math.AG2020★ 17 cited
An arithmetic enrichment of Bézout's Theorem
Stephen McKean
The classical version of Bézout's Theorem gives an integer-valued count of the intersection points of hypersurfaces in projective space over an algebraically closed field. Using wo…
math.AG2020★ 1 cited
All lines on a smooth cubic surface in terms of three skew lines
Stephen McKean, Daniel Minahan, Tianyi Zhang
Jordan showed that the incidence variety of a smooth cubic surface containing 27 lines has solvable Galois group over the incidence variety of a smooth cubic surface containing 3 s…