Abstract
We classify 2-Fano horospherical varieties with Picard number 1. We also review all the known examples of 2-Fano manifolds and investigate the relation between the 2-Fano condition and different notions of stability.
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Acknowledgements
We thank Nicolas Perrin for many useful explanations about horospherical varieties, and our collaborators Roya Beheshti, Kelly Jabbusch, Svetlana Makarova, Enrica Mazzon and Nivedita Viswanathan for many rich discussions about 2-Fano manifolds. This paper was conceived as a contribution to “Edge Volume: 2018–2022” after our participation in Edge Days 2022. We thank the organizers and participants of the several Edge Days for making it such a nice conference series. Special thanks to Vanya Cheltsov for his aggregating energy.
Funding
Carolina Araujo was partially supported by grants from CNPq, Faperj and CAPES/COFECUB. Ana-Maria Castravet was supported by the ANR grants (FanoHK ANR-20-CE40-0023 and FRACASSO ANR-22-CE40-0009-01), as well as the Laboratoire de Mathématiques de Versailles. Most of this work was developed during Carolina Araujo’s visit to the Laboratoire de Mathématiques de Versailles, funded by the “Brazilian-French Network in Mathematics”. We are grateful to this program for the financial support.
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Araujo, C., Castravet, AM. Horospherical 2-Fano varieties. Ann Univ Ferrara (2024). https://doi.org/10.1007/s11565-024-00494-9
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DOI: https://doi.org/10.1007/s11565-024-00494-9