Two Series of Components of the Moduli Space of Semistable Reflexive Rank 2 Sheaves on the Projective Space
摘要
We construct two new infinite series of irreducible components ofthe moduli space of semistable nonlocally free reflexive rank 2 sheaveson the three-dimensional complex projective space.In the first seriesthe sheaves have an even first Chern class,and in the second seriesthey have an odd one,while the second and third Chern classescan be expressed as polynomials of a special formin three integer variables.We prove the uniqueness of components in these seriesfor the Chern classesgiven by those polynomials.