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Some moduli stacks of symplectic bundles on a curve are rational (Pre-published version)
(Elsevier, 2008)
Let C be a smooth projective curve of genus g ≥ 2 over a field k. Given a line bundle L on C, let Sympl2n,L be the moduli stack of vector bundles E of rank 2n on C endowed with a nowhere degenerate symplectic form b : E ⊗ ...