The cone of semisimple monoids with the same factorial hull

Details The cone of semisimple monoids with the same factorial hull The cone of semisimple monoids with the same factorial hull

2006-03-09

arxiv.org/abs/math/0603222v1

Mathematics

Algebraic Geometry

24 pages

Scientific paper

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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