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Creators/Authors contains: "Heier, Gordon"

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  1. ; (, Journal für die reine und angewandte Mathematik (Crelles Journal))
    In previous work, the authors established a generalized version of Schmidt’s subspace theorem for closed subschemes in general position in terms of Seshadri constants.We extend our theorem to weighted sums involving closed subschemes in subgeneral position, providing a joint generalization of Schmidt’s theorem with seminal inequalities of Nochka.A key aspect of the proof is the use of a lower bound for Seshadri constants of intersections from algebraic geometry, as well as a generalized Chebyshev inequality.As an application, we extend inequalities of Nochka and Ru–Wong from hyperplanes in 𝑚-subgeneral position to hypersurfaces in 𝑚-subgeneral position in projective space, proving a sharp result in dimensions 2 and 3, and coming within a factor of 3/2 of a sharp inequality in all dimensions.We state analogous results in Nevanlinna theory generalizing the second main theorem and Nochka’s theorem (Cartan’s conjecture). 
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    Free, publicly-accessible full text available November 28, 2025
  2. ; (, American Journal of Mathematics)
    null (Ed.)
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  3. ; (, Journal of Number Theory)
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