The asphericity conjecture for arrangements of ideal type
Let be a reduced root system with Weyl arrangement . An arrangement of ideal type is a subarrangement of determined by an ideal in the positive roots of . Asphericity conjecture. Any subarrangement of ideal type of is a -arrangement. The preceding results prove the claim for all classical root systems and for many arrangements in exceptional types, leaving only the listed exceptional cases unresolved.
References
Primary source
Nils Amend and Gerhard Roehrle, “The topology of arrangements of ideal type”, arXiv:1801.07157 (2018).
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