Vanishing cotangent cohomology for Plücker algebras
arXiv:1409.3432 · doi:10.1080/00927872.2016.1249373
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 Plücker embedding. As a biproduct we answer a question of Wahl about the cohomology of the square of the ideal sheaf for the case of Plücker relations.
Some results generalized to isotropic Grassmannians