On Stringy E-functions and the Non-negativity Conjecture for Determinantal Varieties
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866917972835041280 |
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| author | Chen, Yifan Zuo, Huaiqing |
| author_facet | Chen, Yifan Zuo, Huaiqing |
| contents | We compute the stringy E-functions of determinantal varieties and establish that the stringy E-function of a determinantal variety coincides with the E-function of the product of a Grassmannian and an affine space. Furthermore, a similar result holds for the projectivization of determinantal varieties. As an application, we verify the non-negativity conjecture for the stringy Hodge numbers of these varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_00312 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Stringy E-functions and the Non-negativity Conjecture for Determinantal Varieties Chen, Yifan Zuo, Huaiqing Algebraic Geometry We compute the stringy E-functions of determinantal varieties and establish that the stringy E-function of a determinantal variety coincides with the E-function of the product of a Grassmannian and an affine space. Furthermore, a similar result holds for the projectivization of determinantal varieties. As an application, we verify the non-negativity conjecture for the stringy Hodge numbers of these varieties. |
| title | On Stringy E-functions and the Non-negativity Conjecture for Determinantal Varieties |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2504.00312 |