Full rectangular Lefschetz collection conjecture for odd isotropic Grassmannians
Full rectangular Lefschetz collection conjecture for odd isotropic Grassmannians
Let denote the odd isotropic Grassmannian parametrizing -dimensional isotropic subspaces of a -dimensional vector space equipped with a nondegenerate skew-symmetric form. A rectangular Lefschetz exceptional collection is a Lefschetz exceptional collection whose blocks all have the same length. The full rectangular Lefschetz collection conjecture. The bounded derived category admits a full rectangular Lefschetz exceptional collection. This is presented as plausible based on the index and rank of the Grothendieck group; the source provides no resolution, so the conjecture remains open.
Sources & referencesView supporting material
Primary source
Anton Fonarev, “On the bounded derived category of IGr(3, 7)”, arXiv:1804.06946 (2018).
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