It is shown that the punctual quotient scheme$Q$_{l}^{r}parametrizing all zero-dimensional quotients $$\mathcal{O}_{A^2 }^{ \oplus ^r } \to T$$ of length$l$and supported at some fixed point O∈$A$^{2}in the plane is irreducible.
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Martin DerauxCentre de Mathématiques, École PolytechniqueElisha FalbelInstitut de Mathématiques, Université Pierre et Marie CurieJulien PaupertInstitut de Mathématiques, Université Pierre et Marie Curie