7 citations · 18 across the 8 of their papers we have counts for
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Holomorphic curves into algebraic varieties intersecting moving hypersurface targets
Gerd Dethloff, Tran Van Tan
In [Ann. of Math. 169 (2009)], Min Ru proved a second main theorem for algebraically nondegenerate holomorphic curves in complex projective varieties intersecting fixed hypersurfac…
Existence of GCD's and Factorization in Rings of Non-Archimedean Entire Functions
William Cherry
A detailed proof is given of the well-known facts that greatest common divisors exist in rings of non-Archimedean entire functions of several variables and that these rings of enti…
Lectures on Non-Archimedean Function Theory
William Cherry
Lecture 1 discusses non-Archimedean analogs of classical complex function theory based on the Schnirelman integral. Lecture 2 discusses valuation (Newton) polygons and their conseq…
Landau's theorem for holomorphic curves in projective space and the Kobayashi metric on hyperplane complements
William Cherry, Alexandre Eremenko
We prove an effective version of a theorem of Dufresnoy: For any set of 2n+1 hyperplanes in general position in n-dimensional complex projective space, we find an explicit constant…