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Classifying weak Fano toric varieties of Picard rank $3$

Published 31 May 2025 in math.AG | (2506.00715v1)

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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Authors (2)

  1. Zhengning Hu 
  2. Rohan Joshi 

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