R^4中的整体面积最小曲面都是代数的
Entire area-minimizing surfaces in R^4 are algebraic
University of Notre Dame（圣母大学）；Stanford University（斯坦福大学）
AI总结：
R^4中具有二次面积增长的整个二维面积最小或稳定曲面都是代数的，且其奇异集大小和亏格与无穷远处的密度有关。
摘要：
我们分类了在R^4中具有二次面积增长的整个二维面积最小或稳定曲面，证明它们是代数的，由有限多个全纯多项式组成的并集所截取。作为结果，我们获得了奇异集大小和亏格与无穷远处的密度之间的界。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
