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Examples of smooth components of moduli spaces of stable sheaves
manuscripta mathematica ( IF 0.5 ) Pub Date : 2020-06-29 , DOI: 10.1007/s00229-020-01223-0
Fabian Reede , Ziyu Zhang

Let M be a projective fine moduli space of stable sheaves on a smooth projective variety X with a universal family E. We prove that in four examples, E can be realized as a complete flat family of stable sheaves on M parametrized by X, which identifies X with a smooth connected component of some moduli space of stable sheaves on M.

中文翻译:

稳定滑轮模空间的光滑分量示例

令 M 为具有全称族 E 的光滑射影变种 X 上稳定滑轮的射影精细模空间。 我们证明,在四个例子中,E 可以实现为由 X 参数化的 M 上的稳定滑轮的完整平坦族,它识别X 具有 M 上稳定滑轮的某个模空间的平滑连通分量。
更新日期:2020-06-29
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