底部复合体
Bottom complexes
摘要：
有限多面尖有理锥的底复形是锥中非零格点的凸包的紧致面的格多面体复形。代数，与锥的底部复杂，定义了一个平面变形的仿射复曲面品种，与多面体锥，集理论。我们描述了三个明确的抽象多面体复合体的无限家庭，定义这样的平面变形计划理论上。
英文摘要：
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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