Abstract
We prove the local hard Lefschetz theorem and local Hodge–Riemann bilinear relations for Soergel bimodules. Using results of Soergel and Kübel, one may deduce an algebraic proof of the Jantzen conjectures. We observe that the Jantzen filtration may depend on the choice of non-dominant regular deformation direction.
Dedication
Dedicated to Ben and Yeppie.
Citation
Geordie Williamson. "Local Hodge theory of Soergel bimodules." Acta Math. 217 (2) 341 - 404, 2016. https://doi.org/10.1007/s11511-017-0146-8
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