On the geometry of the moduli spaces of semi-stable sheaves supported on plane quartics |
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| Authors: | Jean-Marc Drézet Mario Maican |
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| Institution: | 1.Institut de Mathématiques de Jussieu,Paris,France;2.Institutul de Matematic? al Academiei Romane,Bucure?ti,Romania |
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| Abstract: | We decompose each moduli space of semi-stable sheaves on the complex projective plane with support of dimension one and degree
four into locally closed subvarieties, each subvariety being the good or geometric quotient of a set of morphisms of locally
free sheaves modulo a reductive or a non-reductive group. We find locally free resolutions of length one for all these sheaves
and describe them. |
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