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arXiv · 2511.23020

First Betti number of real Calabi-Yau hypersurfaces: examples

Diego Matessi·Arthur Renaudineau
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Abstract

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.

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Diego Matessi, Arthur Renaudineau. 2025-11-28. First Betti number of real Calabi-Yau hypersurfaces: examples. https://arxiv.org/abs/2511.23020

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