Abstract
Consider a root system and the corresponding toric variety whose fan is the Weyl fan and whose lattice of characters is given by the root lattice for . We prove the vanishing of the higher cohomology groups for certain line bundles on by proving a purely combinatorial result for root systems. These results are related to a converse to Mazur’s Inequality for (simply-connected) split reductive groups.
Citation
Qëndrim R. Gashi. "A VANISHING RESULT FOR TORIC VARIETIES ASSOCIATED WITH ROOT SYSTEMS." Albanian J. Math. 1 (4) 235 - 244, 2007. https://doi.org/10.51286/albjm/1199268623
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