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math.AG2019
Concentration estimates for algebraic intersections
Miguel N. Walsh
We present an approach over arbitrary fields to bound the degree of intersection of families of varieties in terms of how these concentrate on algebraic sets of smaller codimension…
math.AG2018
The polynomial method over varieties
Miguel N. Walsh
We establish sharp estimates that adapt the polynomial method to arbitrary varieties. These include a partitioning theorem, estimates on polynomials vanishing on fixed sets and bou…