Moduli spaces of coherent sheaves on multiple curves .   "Algebraic cycles, sheaves, shtukas, and moduli; Impanga lecture notes", Trends in Mathematics, Birkhäuser (2008).
In this paper we study coherent sheaves on reduced curves that can be locally embedded in smooth surfaces. We define new invariants for these sheaves : the generalized rank and degree, and prove a Riemann-Roch theorem using them. The quasi locally free sheaves are natural generalizations of locally free ones. We describe some moduli spaces of stable such sheaves on double curves.

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