Quantitative Néron theory for torsion bundles

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چکیده

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Quantitative Néron theory for torsion bundles

Let R be a discrete valuation ring with algebraically closed residue field, and consider a smooth curve CK over the field of fractions K. For any positive integer r prime to the residual characteristic, we consider the finite K-group scheme PicCK [r] of r-torsion line bundles on CK . We determine when there exists a finite R-group scheme, which is a model of PicCK [r] over R; in other words, we...

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ژورنال

عنوان ژورنال: manuscripta mathematica

سال: 2009

ISSN: 0025-2611,1432-1785

DOI: 10.1007/s00229-009-0261-8