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| The Betti Numbers of Real Toric Varieties Associated to Weyl Chambers of Type B |
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Citation： |
Suyoung CHOI,Boram PARK,Hanchul PARK.The Betti Numbers of Real Toric Varieties Associated to Weyl Chambers of Type B[J].Chinese Annals of Mathematics B,2017,38(6):1213~1222 |
| Page view： 1405
Net amount： 1499 |
Authors： |
Suyoung CHOI; Boram PARK;Hanchul PARK |
Foundation： |
This work was supported by the Basic Science Research
Program through the National Research Foundation of Korea
(Nos.NRF-2016R1D1A1A09917654, NRF-2015R1C1A1A01053495). |
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| Abstract： |
The authors compute the (rational) Betti number of real toric
varieties associated to Weyl chambers of type $B$, and furthermore
show that their integral cohomology is $p$-torsion free for all odd
primes $p$. |
Keywords： |
Real toric variety, Real toric manifold, Betti number, Torsion-free
cohomology, Root system, Weyl chambers, Type $B$, Generalized Euler
number, Springer number, Shellability |
Classification： |
14M25, 57N65, 17B22, 52B22, 05A15 |
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