TL;DR
This paper characterizes specific Quot schemes as closed subschemes within Grassmannians, focusing on those parametrizing finite length quotient sheaves of a free sheaf on projective space.
Contribution
It provides a detailed description of the closed strata defining certain Quot schemes in Grassmannians, expanding understanding of their geometric structure.
Findings
Identification of closed strata for Quot schemes in Grassmannians
Description of Quot schemes parametrizing finite length quotient sheaves
Connection between Quot schemes and Grassmannian subvarieties
Abstract
We describe the closed strata that defines certain Quot schemes as closed subschemes in Grassmannians. The Quot schemes we consider are those parametrizing finite length quotient sheaves of the free, rank sheaf on projective -space.
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