6 problems

Let $\mathcal C^{\nu}_n$ be the moduli space of rank-two parabolic connections on $(\mathbb{P}^1,\Lambda_n)$ with generic eigenvalue vector $\nu$, and let…

Let $\mathcal{M}$ be the moduli stack of parabolic connections, let $P^{\vee}$ be the dual projective space, and let $D_{\boldsymbol\nu}$ be the corresponding twisted differential-…

Let $P$ and $P^{\vee}$ be the projective spaces replacing the dual projective spaces in the Radon transform, and let $D(P)_{\boldsymbol\nu}$ and $D_{\boldsymbol\nu}$ be the corresp…

Let $\mathcal{M}$ be the moduli stack of parabolic connections, let $P$ be the corresponding coarse moduli space of indecomposable quasi-parabolic $\mathfrak{sl}_2$-bundles, and le…

For $x\in\mathbb{P}^1$, let $\xi_x$ be the bundle on $\overline{\mathcal{M}}$ whose fiber at $(L,\nabla,\varphi;\epsilon\in E)$ is $L_x$. Let $\mathcal{M}$ denote the moduli space…

Let the moduli space of rank-two parabolic connections on the projective line minus four points be decomposed into disjoint locally closed subvarieties by the Higgs limit decomposi…