On the Irreducibility of Some Quiver Varieties
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.
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2020 |
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2020
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/210779 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On the Irreducibility of Some Quiver Varieties. Claudio Bartocci, Ugo Bruzzo, Valeriano Lanza and Claudio L.S. Rava. SIGMA 16 (2020), 069, 13 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862736769131216896 |
|---|---|
| author | Bartocci, Claudio Bruzzo, Ugo Lanza, Valeriano Rava, Claudio L.S. |
| author_facet | Bartocci, Claudio Bruzzo, Ugo Lanza, Valeriano Rava, Claudio L.S. |
| citation_txt | On the Irreducibility of Some Quiver Varieties. Claudio Bartocci, Ugo Bruzzo, Valeriano Lanza and Claudio L.S. Rava. SIGMA 16 (2020), 069, 13 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
|
| first_indexed | 2026-04-17T16:43:34Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-210779 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-04-17T16:43:34Z |
| publishDate | 2020 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Bartocci, Claudio Bruzzo, Ugo Lanza, Valeriano Rava, Claudio L.S. 2025-12-17T14:37:40Z 2020 On the Irreducibility of Some Quiver Varieties. Claudio Bartocci, Ugo Bruzzo, Valeriano Lanza and Claudio L.S. Rava. SIGMA 16 (2020), 069, 13 pages 1815-0659 2020 Mathematics Subject Classification: 14D20; 14D21; 14J60; 16G20 arXiv:2003.05890 https://nasplib.isofts.kiev.ua/handle/123456789/210779 https://doi.org/10.3842/SIGMA.2020.069 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. This research was partly supported by INdAM-GNSAGA and PRIN "Geometria delle varieta algebriche". V.L. was supported by the FAPESP Postdoctoral Grants No. 2015/07766-4(Bolsa no País)and 2017/22052-9 (Bolsa Estagio de Pesquisa no Exterior). This research was partly carried out while he was visiting the Department of Mathematics of Northeastern University (Boston), and he wishes to thank that institution for its hospitality. We thank our referees for their valuable suggestions, which allowed us to substantially improve the presentation. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On the Irreducibility of Some Quiver Varieties Article published earlier |
| spellingShingle | On the Irreducibility of Some Quiver Varieties Bartocci, Claudio Bruzzo, Ugo Lanza, Valeriano Rava, Claudio L.S. |
| title | On the Irreducibility of Some Quiver Varieties |
| title_full | On the Irreducibility of Some Quiver Varieties |
| title_fullStr | On the Irreducibility of Some Quiver Varieties |
| title_full_unstemmed | On the Irreducibility of Some Quiver Varieties |
| title_short | On the Irreducibility of Some Quiver Varieties |
| title_sort | on the irreducibility of some quiver varieties |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/210779 |
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