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arXiv · 1607.05565

The N\'eron-Severi Lie Algebra of a Soergel Module

Leonardo Patimo
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Abstract

We introduce the N\'eron-Severi Lie algebra of a Soergel module and we determine it for a large class of Schubert varieties. This is achieved by investigating which Soergel modules admit a tensor decomposition. We also use the N\'eron-Severi Lie algebra to provide an easy proof of the well-known fact that a Schubert variety is rationally smooth if and only if its Betti numbers satisfy Poincar\'e duality.

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Leonardo Patimo. 2016-07-19. The N\'eron-Severi Lie Algebra of a Soergel Module. https://arxiv.org/abs/1607.05565

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