On the Irreducibility of Some Quiver Varieties

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Authors: Bartocci, Claudio, Bruzzo, Ugo, Lanza, Valeriano, Rava, Claudio L.S.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210779
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the Irreducibility of Some Quiver Varieties. Claudio Bartocci, Ugo Bruzzo, Valeriano Lanza and Claudio L.S. Rava. SIGMA 16 (2020), 069, 13 pages

We prove that certain quiver varieties are irreducible and therefore are isomorphic to Hilbert schemes of points of the total spaces of the bundles ₚ₁(−n) for n ≥ 1.