The line bundles on moduli stacks of principal bundles on a curve

Details The line bundles on moduli stacks of principal bundles on a curve The line bundles on moduli stacks of principal bundles on a curve

2008-05-19

arxiv.org/abs/0805.2915v2

Documenta Math. 15 (2010), 35-72

Mathematics

Algebraic Geometry

33 pages, AMSLaTeX. v2: Lemma 4.1.1 corrected

Scientific paper

Let G be an affine reductive algebraic group over an algebraically closed
field k. We determine the Picard group of the moduli stacks of principal
G-bundles on any smooth projective curve over k.

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