Gabber's torsion-freeness conjecture for punctured spectra
Gabber's torsion-freeness conjecture for punctured spectra
Let be a local complete intersection ring of dimension . Let
be the punctured spectrum of . Gabber's conjecture. The group is torsion-free. The paper notes that its positive-characteristic case follows from the theorem proved there; the conjecture is attributed to Gabber and concerns the absence of torsion in Picard groups of punctured spectra of three-dimensional local complete intersections.
Sources & referencesView supporting material
Primary source
Hailong Dao and Ilya Smirnov, “On generalized Hilbert-Kunz function and multiplicity”, arXiv:1305.1833 (2019).
Additional references
3 papers in this index state this conjecture (2009–2013). The statement above is taken from the most recent of them; the others are arXiv:1004.0471, arXiv:0911.4268.
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