Finite-dimensionality criterion for local Picard groups of S2 surfaces
Finite-dimensionality criterion for local Picard groups of S2 surfaces
Let be an surface. Finite-dimensionality conjecture. There is a finite-dimensional local Picard group if and only if is seminormal. The conjecture is motivated by the contrast between normal complex surface singularities, where finite-dimensional local Picard groups are known, and many non-normal examples in which no finite-dimensional local Picard group exists; its resolution is not supplied in the source.
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Primary source
János Kollár, “Maps between local Picard groups”, arXiv:1407.5108 (2014).
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