1 citations · 1 across the 5 of their papers we have counts for
6 papers
Tower of coverings and polylog-size coverings of rational points
Kenneth Chung Tak Chiu
We prove that a smooth irreducible proper variety over a number field admits polylogarithmic-size coverings of rational points of bounded height if it admits a tower of finite étal…
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…
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 admissible…
Ax-Schanuel with derivatives for mixed period mappings
Kenneth Chung Tak Chiu
We prove the Ax-Schanuel property of the derivatives of mixed period mappings. We also prove the jet space reformulation of this result. The proofs use the Ax-Schanuel result for p…
Ax-Schanuel for variations of mixed Hodge structures
Kenneth Chung Tak Chiu
We give properties of the real-split retraction of the mixed weak Mumford-Tate domain and prove the Ax-Schanuel property of period mappings arising from variations of mixed Hodge s…
Hyberbolic Belyi maps and Shabat-Blaschke products
Kenneth Chung Tak Chiu, Tuen Wai Ng
We first introduce hyperbolic analogues of Belyi maps, Shabat polynomials and Grothendieck's dessins d'enfant. In particular we introduce and study the Shabat-Blaschke products and…