11. Moduli Stack of Torsion Coherent Sheaves on $\mathbb{P}^1$
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Problem 11.1.
[McNamara] Let $X$ be the moduli stack of torsion coherent sheaves on $\mathbb{P}^1$ over $\C$. Is it true that $H^{\mathrm{odd}}(X, k) = 0$ for all fields $k$?
(Motivated by KLR algebras for affine $\mathfrak{sl}_2$.)
Cite this as: AimPL: Sheaves and modular representations of reductive groups, available at http://aimpl.org/sheavemodular.