We construct two new infinite series of irreducible components of the moduli space of semistable nonlocally free reflexive rank 2 sheaves on the three-dimensional complex projective space. In the first series the sheaves have an even first Chern class, and in the second series they have an odd one, while the second and third Chern classes can be expressed as polynomials of a special form in three integer variables. We prove the uniqueness of components in these series for the Chern classes given by those polynomials.

中文翻译：

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射影空间上半稳定自反阶2滑轮模空间的两个系列分量

我们在三维复射影空间上构造了半稳定非局部自由自反阶 2 滑轮模空间的两个新的无限级数不可约分量。在第一个系列中，滑轮具有偶数的第一个陈氏类，在第二个系列中，它们具有奇数个陈氏类，而第二和第三个陈氏类可以表示为三个整数变量的特殊形式的多项式。对于这些多项式给出的 Chern 类，我们证明了这些系列中分量的唯一性。