Plücker relations for quiver Grassmannians

Abstract

In this text, we exhibit the quiver Plücker relations for a quiver Grassmannian and show that they describe the quiver Grassmannian as a closed subscheme of a product of usual Grassmannians.

7 pages; the restrictive hypothesis on a dense Schubert cell has been removed from the main result of the previous version; as a result the text has been rewritten from scratch; the new version contains examples

References in corpus (3)

• Moduli of Representations, Quiver Grassmannians, and Hilbert Schemes
• Quiver Grassmannians of type extended Dynkin type D - Part 1: Schubert systems and decompositions into affine spaces
• Representation type via Euler characteristics and singularities of quiver Grassmannians

Cited by in corpus (1)

• Representation type via Euler characteristics and singularities of quiver Grassmannians