Smooth correspondences between quiver varieties
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914293004369920 |
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| author | González, Nicolle Gorsky, Eugene Simental, José |
| author_facet | González, Nicolle Gorsky, Eugene Simental, José |
| contents | We introduce a new class of smooth correspondences between Nakajima quiver varieties called split parabolic quiver varieties, and study their properties. We use these correspondences to construct an explicit resolution of singularities of quiver Brill--Noether loci and prove that the latter are irreducible and Cohen-Macaulay of expected dimension (if non-empty). This generalizes the results of Nakajima--Yoshioka and Bayer--Chen--Jiang for Hilbert schemes of points on surfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_22287 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Smooth correspondences between quiver varieties González, Nicolle Gorsky, Eugene Simental, José Algebraic Geometry Representation Theory We introduce a new class of smooth correspondences between Nakajima quiver varieties called split parabolic quiver varieties, and study their properties. We use these correspondences to construct an explicit resolution of singularities of quiver Brill--Noether loci and prove that the latter are irreducible and Cohen-Macaulay of expected dimension (if non-empty). This generalizes the results of Nakajima--Yoshioka and Bayer--Chen--Jiang for Hilbert schemes of points on surfaces. |
| title | Smooth correspondences between quiver varieties |
| topic | Algebraic Geometry Representation Theory |
| url | https://arxiv.org/abs/2601.22287 |