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The Cohomology Groups of Real Toric Varieties Associated with Weyl Chambers of Types C and D

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Abstract Given a root system, the Weyl chambers in the co-weight lattice give rise to a real toric variety, called the real toric variety associated with the Weyl chambers. We… Click to show full abstract

Abstract Given a root system, the Weyl chambers in the co-weight lattice give rise to a real toric variety, called the real toric variety associated with the Weyl chambers. We compute the integral cohomology groups of real toric varieties associated with the Weyl chambers of type Cn and Dn, completing the computation for all classical types.

Keywords: toric varieties; real toric; cohomology groups; weyl chambers; associated weyl; groups real

Journal Title: Proceedings of the Edinburgh Mathematical Society
Year Published: 2019

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