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math.AG2017★ 8 cited
On arithmetic general theorems for polarized varieties
Nathan Grieve
We apply Schmidt's Subspace Theorem to establish Arithmetic General Theorems for projective varieties over number and function fields. Our first result extends an analogous result…
math.AG2017
Expectations, Concave Transforms, Chow weights, and Roth's theorem for varieties
Nathan Grieve
We explain how complexity of rational points on projective varieties can be interpreted via the theories of Chow forms and Okounkov bodies. Precisely, we study discrete measures on…