Brauer groups of Quot schemes
Brauer groups of Quot schemes
Let X be an irreducible smooth complex projective curve.Let Q(r, d) be the Quot scheme parameterizing all coherent subsheaves of O ⊕r X of rank r and degree -d.There are natural morphisms Q(r, d) -→ Sym d (X) and Sym d (X) -→ Pic d (X).We prove that both these …