The cone of semisimple monoids with the same factorial hull
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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 March 2006
 DOI:
 10.48550/arXiv.math/0603222
 arXiv:
 arXiv:math/0603222
 Bibcode:
 2006math......3222R
 Keywords:

 Mathematics  Algebraic Geometry;
 14L30
 EPrint:
 24 pages