
We prove the existence of Fano ladders on weak log Fano varieties of coindex less than 4, as an application of adjunction and nonvanishing.
AMSTeX, 13 pages; revised: minor typos replaced
normal variety, ladder of log terminal Fano varieties, Kawamata log terminal, Mathematics - Algebraic Geometry, log terminal Fano 3-fold, Fano varieties, FOS: Mathematics, log terminal Fano 4-fold, \(3\)-folds, pure log terminal, \(4\)-folds, Algebraic Geometry (math.AG)
normal variety, ladder of log terminal Fano varieties, Kawamata log terminal, Mathematics - Algebraic Geometry, log terminal Fano 3-fold, Fano varieties, FOS: Mathematics, log terminal Fano 4-fold, \(3\)-folds, pure log terminal, \(4\)-folds, Algebraic Geometry (math.AG)
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