BibTex format
@unpublished{Cascini:1999,
author = {Cascini, P},
title = {On a compactification of the moduli space of the rational normal curves},
url = {http://arxiv.org/abs/math/9912070v3},
year = {1999}
}
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RIS format (EndNote, RefMan)
TY - UNPB
AB - For any odd $n$, we describe a smooth minimal (i.e. obtained by adding anirreducible hypersurface) compactification $\tilde S_n$ of the quasi-projectivehomogeneous variety $S_{n}=PGL(n+1)/SL(2)$ that parameterizes the rationalnormal curves in $P^n$. We show that $\tilde S_{n}$ is isomorphic to acomponent of the Maruyama scheme of the semi-stable sheaves on $P^n$ of rank$n$ and Chern polynomial $(1+t)^{n+2}$ and we compute its Betti numbers. In particular $\tilde S_{3}$ is isomorphic to the variety of nets of quadricsdefining twisted cubics, studied by G. Ellinsgrud, R. Piene and S. Str{\o}mme(Space curves, Proc. Conf., LNM 1266).
AU - Cascini,P
PY - 1999///
TI - On a compactification of the moduli space of the rational normal curves
UR - http://arxiv.org/abs/math/9912070v3
UR - http://hdl.handle.net/10044/1/30521
ER -