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- W2597373441 abstract "We describe new irreducible components of the Gieseker-Maruyama moduli scheme $mathcal{M}(3)$ of semistable rank 2 coherent sheaves with Chern classes $c_1=0, c_2=3, c_3=0$ on $mathbb{P}^3$, general points of which correspond to sheaves whose singular loci contain components of dimensions both 0 and 1. These sheaves are produced by elementary transformations of stable reflexive rank 2 sheaves with $c_1=0, c_2=2, c_3=2$ or 4 along a disjoint union of a projective line and a collection of points in $mathbb{P}^3$. The constructed families of sheaves provide first examples of irreducible components of the Gieseker-Maruyama moduli scheme such that their general sheaves have singularities of mixed dimension." @default.
- W2597373441 created "2017-03-23" @default.
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- W2597373441 date "2018-07-01" @default.
- W2597373441 modified "2023-09-27" @default.
- W2597373441 title "Semistable rank 2 sheaves with singularities of mixed dimension on P3" @default.
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- W2597373441 doi "https://doi.org/10.1016/j.geomphys.2018.02.018" @default.
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