Pl\"ucker relations for quiver Grassmannians
Oliver Lorscheid, Thorsten Weist
TL;DR
This paper introduces quiver Pl"ucker relations that characterize quiver Grassmannians as closed subschemes within products of classical Grassmannians, providing a new algebraic description.
Contribution
It presents the explicit form of quiver Pl"ucker relations and demonstrates their role in embedding quiver Grassmannians into products of Grassmannians.
Findings
Quiver Grassmannians are described by explicit Pl"ucker relations.
These relations embed quiver Grassmannians as closed subschemes.
The approach generalizes classical Grassmannian embeddings.
Abstract
In this text, we exhibit the quiver Pl\"ucker relations for a quiver Grassmannian and show that they describe the quiver Grassmannian as a closed subscheme of a product of usual Grassmannians.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Combinatorial Mathematics · Commutative Algebra and Its Applications