Cat property conjecture for smooth Fano varieties
Cat property conjecture for smooth Fano varieties
Let be a nonsingular Fano variety of dimension . An effective -divisor is log canonical in codimension when the pair is log canonical away from a subset of codimension at least . The Cat property is the property defined in the source for Fano varieties.
Cat property conjecture. satisfies the Cat property if and only if every effective -divisor is log canonical in codimension .
The conjecture is motivated by examples and results for del Pezzo surfaces, including verification in several low-degree cases. Its status is not resolved in the supplied text.
Sources & referencesView supporting material
Primary source
Jesus Martinez-Garcia, “Dynamic alpha-invariants of del Pezzo surfaces with boundary”, arXiv:1309.1185 (2013).
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