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The cone of semisimple monoids with the same factorial hull

Lex E. Renner
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Abstract

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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Lex E. Renner. 2006-03-09. The cone of semisimple monoids with the same factorial hull. https://arxiv.org/abs/math/0603222

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