Faisceaux cohérents sur les courbes multiples.
Jean-Marc Drézet (2006)
Collectanea Mathematica
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This paper is devoted to the study of coherent sheaves on non reduced curves that can be locally embedded in smooth surfaces. If Y is such a curve then there is a filtration C ⊂ C ⊂ ... ⊂ C = Y such that C is the reduced curve associated to Y, and for very P ∈ C there exists z ∈ O such that (z) is the ideal of C in O. We define, using canonical filtrations, new invariants of coherent sheaves on Y: the and , and use them to state a for sheaves on Y. We define , which are locally isomorphic...