The eigenvector variety of a matrix pencil

DOI10.1016/j.laa.2017.05.004zbMath1372.15009arXiv1703.04097OpenAlexW2595116658MaRDI QIDQ2402464

Claus Michael Ringel

Publication date: 7 September 2017

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.04097

zbMATH Keywords

eigenvalueseigenvectorsmatrix pencilsprojective varietiesquiver GrassmanniansKronecker modules

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Representations of quivers and partially ordered sets (16G20) Families, moduli, classification: algebraic theory (14J10) Matrix pencils (15A22)

Related Items (3)

A 4-fold categorical equivalence ⋮ Kronecker modules generated by modules of length 2 ⋮ On quiver Grassmannians and orbit closures for gen-finite modules

Cites Work

• Every projective variety is a quiver Grassmannian.
• Tame algebras and integral quadratic forms
• The geometry of uniserial representations of finite-dimensional algebra. I
• Quiver Grassmannians and Auslander varieties for wild algebras.
• Top-stable degenerations of finite dimensional representations. II.
• Varieties of uniserial representations IV. Kinship to geometric quotients
• Quiver Grassmannians for wild acyclic quivers
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