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arXiv · 1409.3432

Vanishing cotangent cohomology for Pl\"ucker algebras

Jan Arthur Christophersen·Nathan Owen Ilten
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Abstract

We use representation theory and Bott's theorem to show vanishing of higher cotangent cohomology modules for the homogeneous coordinate ring of Grassmannians in the Pl\"ucker embedding. As a biproduct we answer a question of Wahl about the cohomology of the square of the ideal sheaf for the case of Pl\"ucker relations.

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Jan Arthur Christophersen, Nathan Owen Ilten. 2014-09-11. Vanishing cotangent cohomology for Pl\"ucker algebras. https://doi.org/10.1080/00927872.2016.1249373

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