On smooth Fano fourfolds of Picard number two

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arxiv 1907.08000 v3 pith:SAKQCLHP submitted 2019-07-18 math.AG

Juergen Hausen , Antonio Laface , Christian Mauz This is my paper · ORCID

classification math.AG

keywords fanonumberpicardsmoothclassifyfoldsfourfoldsgeneral

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We classify the smooth Fano 4-folds of Picard number two that have a general hypersurface Cox ring.

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Terminal Fano four folds in low codimension
math.AG 2025-06 conditional novelty 6.0 of 10

The result is an enumeration of 95 type-K0 and 32 type-K2 isolated terminal Fano 4-folds in codimensions 2, 3, and 4, complete only up to a weight-sum bound.