Vanishing cotangent cohomology for Pl\"ucker algebras
Algebraic Geometry
2019-11-26 v2
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.
Keywords
Cite
@article{arxiv.1409.3432,
title = {Vanishing cotangent cohomology for Pl\"ucker algebras},
author = {Jan Arthur Christophersen and Nathan Owen Ilten},
journal= {arXiv preprint arXiv:1409.3432},
year = {2019}
}
Comments
Some results generalized to isotropic Grassmannians