论文标题

部分可观测时空混沌系统的无模型预测

Bottom complexes

论文作者

Gubeladze, Joseph

论文摘要

有限多层尖锥的底部复合物是锥体中非零晶格点的凸壳的紧凑型面的晶格多面体。与锥体的底部复合物相关的代数定义了与多面体锥体相关的仿射曲面品种的平坦变形。我们将三个显式的无限族的抽象多层复合物分别描述,从理论上定义了这种平坦的变形方案。

The bottom complex of a finite polyhedal pointed rational cone is the lattice polytopal complex of the compact faces of the convex hull of nonzero lattice points in the cone. The algebra, associated to the bottom complex of a cone, defines a flat deformation of the affine toric variety, associated to the polyhedral cone, set-theoretically. We describe three explicit infinite families of abstract polytopal complexes, defining such flat deformations scheme-theoretically.

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