First Betti number of real Calabi-Yau hypersurfaces: examples
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918222005010432 |
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| author | Matessi, Diego Renaudineau, Arthur |
| author_facet | Matessi, Diego Renaudineau, Arthur |
| contents | Continuing the investigation of real Calabi-Yau hypersurfaces in toric varieties obtained by patchworking, we present a new theorem concerning the computation of their first Betti number using mirror symmetry. Although the proof of this result will appear elsewhere, we focus here on its consequences and applications to the topology of real Calabi-Yau hypersurfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_23020 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | First Betti number of real Calabi-Yau hypersurfaces: examples Matessi, Diego Renaudineau, Arthur Algebraic Geometry Combinatorics Continuing the investigation of real Calabi-Yau hypersurfaces in toric varieties obtained by patchworking, we present a new theorem concerning the computation of their first Betti number using mirror symmetry. Although the proof of this result will appear elsewhere, we focus here on its consequences and applications to the topology of real Calabi-Yau hypersurfaces. |
| title | First Betti number of real Calabi-Yau hypersurfaces: examples |
| topic | Algebraic Geometry Combinatorics |
| url | https://arxiv.org/abs/2511.23020 |