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.
Classifying terminal weighted projective space
1 Pith paper cite this work. Polarity classification is still indexing.
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abstract
We present a classification of all weighted projective spaces with at worst terminal or canonical singularities in dimension four. As a corollary we also classify all four-dimensional one-point lattice simplices up to equivalence. Finally, we classify the terminal Gorenstein weighted projective spaces up to dimension ten.
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Terminal Fano four folds in low codimension
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.