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I am looking for the fundamental group of the moduli space of parabolic bundles with fixed determinant over a smooth projective curve. I know that the fundamental group of the moduli space of vector ...

Let $X$ be a prime Fano threefold of index one and even genus $g\geq 6$, one can show that the moduli space of torsion free semistable sheaves $M(2,1,m_g)$ with $m_g=\left \lceil{\frac{g+2}{2}}\right \...