AI 中文总结
该研究基于已有十二点反例的框架,构造出带非零复值Schwartz窗的计算机辅助四点反例,其辛三角形行列式绝对值均小于1,属于本质亚临界范畴。
AI 中文摘要
基于Faulhuber、Petersen、van Velthoven和Voigtlaender在其十二点反例中开发的向量Zak与上同调框架,我们给出了一个带非零复值Schwartz窗的计算机辅助四点反例。该显式构型的每个辛三角形行列式绝对值均小于1,使其处于本质亚临界 regime。
英文摘要
Building on the vector-Zak and cohomological framework developed by Faulhuber, Petersen, van Velthoven, and Voigtlaender in their twelve-point counterexample, we give a computer-assisted four-point counterexample with a nonzero complex-valued Schwartz window. Every symplectic triangle determinant of the explicit configuration has absolute value below one, placing it in the intrinsically subcritical regime.