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arXiv · 2506.00715

Classifying weak Fano toric varieties of Picard rank $3$

Zhengning Hu·Rohan Joshi
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Abstract

We provide a systematic method to classify all smooth weak Fano toric varieties of Picard rank $3$ in any dimension using Macaulay2, and describe the classification explicitly in dimensions $3$ and $4$. There are $28$ and $114$ isomorphism classes of rank $3$ weak Fano toric threefolds and fourfolds, respectively.

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Zhengning Hu, Rohan Joshi. 2025-05-31. Classifying weak Fano toric varieties of Picard rank $3$. https://arxiv.org/abs/2506.00715

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