具有相同阶乘壳的半单幺半群的锥
The cone of semisimple monoids with the same factorial hull
摘要：
投射簇X（或其锥）的阶乘壳是一个分次代数R（X），在某些情况下可以用来同时考虑X上的所有除子类。与X相关联的是X的除子类群Cl（X）中的某个锥H。我们在X是简单群G的plongement magnifique的情况下显式地计算H。在这种情况下，H的元素可以用半单代数幺半群表示。
英文摘要：
The factorial hull of the projective variety X (or its cone) is a graded algebra R(X) that can be used in some situations to consider simultaneously all divisor classes on X. Associated with X is a certain cone H in the divisor class group Cl(X) of X. We calculate H explicitly in the case where X is the plongement magnifique for the simple goup G. In this case the elements of H can be represented by semisimple algebraic monoids.
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