Desingularizations of quiver Grassmannians via graded quiver varieties

Abstract

Inspired by recent work of Cerulli-Feigin-Reineke on desingularizations of quiver Grassmannians of representations of Dynkin quivers, we obtain desingularizations in considerably more general situations and in particular for Grassmannians of modules over iterated tilted algebras of Dynkin type. Our desingularization map is constructed from Nakajima's desingularization map for graded quiver varieties.

27 pages

References in corpus (3)

• Graded quiver varieties, quantum cluster algebras and dual canonical basis
• Quantum cluster variables via vanishing cycles
• Degenerate flag varieties: moment graphs and Schröder numbers

Cited by in corpus (2)

• The Calabi-Yau Landscape: from Geometry, to Physics, to Machine-Learning
• Moduli of Representations, Quiver Grassmannians, and Hilbert Schemes