L-equivalences via Symplectic and $F_4$ Grassmannians
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908720067248128 |
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| author | Noden, Ivan |
| author_facet | Noden, Ivan |
| contents | Using a construction of Kanemitsu from [9] and observations by Rampazzo in [19], we find examples of zero divisors in the Grothendieck ring of varieties by taking the zero loci of sections of vector bundles over symplectic and $F_4$ Grassmannians. These zero divisors yield instances of non-trivially L-equivalent Calabi-Yau varieties. This methodology is inspired by a similar process performed by Ito et al. on $G_2$ Grassmannians in [8]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_16507 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | L-equivalences via Symplectic and $F_4$ Grassmannians Noden, Ivan Algebraic Geometry Representation Theory Using a construction of Kanemitsu from [9] and observations by Rampazzo in [19], we find examples of zero divisors in the Grothendieck ring of varieties by taking the zero loci of sections of vector bundles over symplectic and $F_4$ Grassmannians. These zero divisors yield instances of non-trivially L-equivalent Calabi-Yau varieties. This methodology is inspired by a similar process performed by Ito et al. on $G_2$ Grassmannians in [8]. |
| title | L-equivalences via Symplectic and $F_4$ Grassmannians |
| topic | Algebraic Geometry Representation Theory |
| url | https://arxiv.org/abs/2512.16507 |