7 citations · 18 across the 8 of their papers we have counts for
10 papers
A Non-Archimedean Second Main Theorem for Hypersurfaces in Subgeneral Position
Ta Thi Hoai An, William Cherry, Nguyen Viet Phuong
We apply an idea of Levin to obtain a non-truncated second main theorem for non-Archimedean analytic maps approximating algebraic hypersurfaces in subgeneral position. In some case…
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…
Some projective distance inequalities for simplices in complex projective space
Mark Fincher, Heather Olney, William Cherry
We prove inequalities relating the absolute value of the determinant of n+1 linearly independent unit vectors in an n+1 dimensional complex vector space and the projective distance…
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…
Generalized ABC theorems for non-Archimedean entire functions of several variables in arbitrary characteristic
William Cherry, Cristina Toropu
We prove generalized ABC theorems for vanishing sums of non-Archimedean entire functions of several variables in arbitrary characteristic.