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Working paper

New series of moduli components of rank 2 semistable sheaves on P3 with singularities of mixed dimension

arXiv:1903.00772. math.AG. Cornell University, 2019
We construct a new infinite series of irreducible components of the Gieseker-Maruyama moduli scheme M(k), k≥3 of coherent semistable rank 2 sheaves with Chern classes c_1=0, c_2=k, c_3=0 on P^3 generic points of which correspond to sheaves with singularities of mixed dimension. These sheaves are constructed by elementary transformations of stable and properly μ-semistable reflexive sheaves along disjoint union of collections of points and smooth irreducible curves which are rational or complete intersection curves. As a special member of this series we obtain a new component of M(3).