First Betti number of real Calabi-Yau hypersurfaces: examples
Algebraic Geometry
2025-12-01 v1 Combinatorics
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.
Cite
@article{arxiv.2511.23020,
title = {First Betti number of real Calabi-Yau hypersurfaces: examples},
author = {Diego Matessi and Arthur Renaudineau},
journal= {arXiv preprint arXiv:2511.23020},
year = {2025}
}
Comments
28 pages, 4 figures