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

### Summary

Summary: 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 $k$.

### Mathematics Subject Classification

14C22, 14D20, 14H10

### Keywords/Phrases

principal bundle, moduli stack, Picard group