# MathSciDoc: An Archive for Mathematician ∫

#### TBDmathscidoc:1701.332914

Arkiv for Matematik, 37, (2), 245-254, 1997.4
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.
@inproceedings{geir1997irreducibility,
title={Irreducibility of the punctual quotient scheme of a surface},
author={Geir Ellingsrud, and Manfred Lehn},
url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203555835605723},
booktitle={Arkiv for Matematik},
volume={37},
number={2},
pages={245-254},
year={1997},
}

Geir Ellingsrud, and Manfred Lehn. Irreducibility of the punctual quotient scheme of a surface. 1997. Vol. 37. In Arkiv for Matematik. pp.245-254. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203555835605723.