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Bibliographic Details
Main Authors: Edelen, Nick, Reyna, Luis Atzin Franco, Minter, Paul
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2602.02997
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Table of Contents:
  • We classify entire 2-dimensional area-minimizing or stable surfaces in R^4 with quadratic area growth as algebraic, cut out by a finite union of holomorphic polynomials whose collective degrees are controlled by the density at infinity. As a consequence, we obtain bounds on the singular set size and genus in terms of the density at infinity.