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math.AG2020
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
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…