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11. Moduli Stack of Torsion Coherent Sheaves on \mathbb{P}^1

    1. 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.