Cohomological characterization of universal bundles of G(1, n)

[摘要] We characterize directs sums of twists of symmetric powers of the universal quotient bundle over the Grassmannian of lines. We use a method that could be used for analogue results on any arbitrary variety, and that should give stronger results than using the standard technique of Beilinson's spectral sequence. (C) 2019 Elsevier Inc. All rights reserved.

[发布日期] 2019-12-15

[关键词] Grassmannian;Cohomology;Universal bundles;Serre duality;Eagon-Northcott complexes;Schur functor