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The Betti Numbers of Real Toric Varieties Associated to Weyl Chambers of Type B |
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| Authors: | Suyoung CHOI Boram PARK Hanchul PARK |
| Affiliation: | 1. Department of Mathematics, Ajou University, 206, Worldcup-ro, Yeongtong-gu, Suwon 16499, Republic of Korea;2. School of Mathematics, Korea Institute for Advanced Study, 85 Hoegiro Dongdaemun-gu, Seoul 02455, Republic of Korea |
| Abstract: | The authors compute the (rational) Betti number of real toricvarieties associated to Weyl chambers of type $B$, and furthermoreshow that their integral cohomology is $p$-torsion free for all oddprimes $p$. |
| Keywords: | Real toric variety Real toric manifold Betti number Torsion-freecohomology Root system Weyl chambers Type $B$ Generalized Eulernumber Springer number Shellability |
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