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math.NT2025
Arithmetic sparsity in mixed Hodge settings
Kenneth Chung Tak Chiu
Let be a smooth irreducible quasi-projective algebraic variety over a number field . Suppose is equipped with a -adic étale local system compatible with an admissibl…
math.NT2024
Slope-determinant method, complex cellular structures and hypersurface coverings of regular rational points
Kenneth Chung Tak Chiu
We use the determinant method of Bombieri-Pila and Heath-Brown and its Arakelov reformulation by Chen utilizing Bost's slope method to estimate the number of hypersurfaces required…