NORMALITY AND QUADRATICITY FOR SPECIAL AMPLE LINE BUNDLES ON TORIC VARIETIES ARISING FROM ROOT SYSTEMS

作者:Gashi Qendrim R; Schedler Travis
来源:Glasgow Mathematical Journal, 2013, 55A(A): 113-134.
DOI:10.1017/S0017089513000542

摘要

We prove that special ample line bundles on toric varieties arising from root systems are projectively normal. Here the maximal cones of the fans correspond to the Weyl chambers, and special means that the bundle is torus-equivariant such that the character of the line bundle that corresponds to a maximal Weyl chamber is dominant with respect to that chamber. Moreover, we prove that the associated semi-group rings are quadratic.

  • 出版日期2013-10

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