Geodesic
On the Singular Sheaves in the Fine Simpson Moduli Spaces of 1-dimensional Sheaves
Canadian mathematical bulletin, Tome 60 (2017) no. 3, pp. 522-535

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DOI

In the Simpson moduli space $M$ of semi-stable sheaves with Hilbert polynomial $dm\,\text{-}\,\text{1}$ on a projective plane we study the closed subvariety ${{M}^{'}}$ of sheaves that are not locally free on their support. We show that for $d\ge 4$ , it is a singular subvariety of codimension 2 in $M$ . The blow up of $M$ along ${{M}^{'}}$ is interpreted as a (partial) modification of $M\backslash {{M}^{'}}$ by line bundles (on support).
DOI : 10.4153/CMB-2016-059-7
Mots-clés : 14D20, Simpson moduli spaces, coherent sheaves, vector bundles on curves, singular sheaves 
Iena, Oleksandr; Leytem, Alain. On the Singular Sheaves in the Fine Simpson Moduli Spaces of 1-dimensional Sheaves. Canadian mathematical bulletin, Tome 60 (2017) no. 3, pp. 522-535. doi: 10.4153/CMB-2016-059-7
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     title = {On the {Singular} {Sheaves} in the {Fine} {Simpson} {Moduli} {Spaces} of 1-dimensional {Sheaves}},
     journal = {Canadian mathematical bulletin},
     pages = {522--535},
     year = {2017},
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     doi = {10.4153/CMB-2016-059-7},
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