2025/11/28 by Matessi, Diego, Renaudineau, Arthur
Mathematics · #Geometry and complex manifolds #Algebraic Geometry and Number Theory #Advanced Combinatorial Mathematics
paper · doi:10.48550/arxiv.2511.23020
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.