On the moduli space of the Schwarzenberger bundles

Details On the moduli space of the Schwarzenberger bundles On the moduli space of the Schwarzenberger bundles

2000-09-14

arxiv.org/abs/math/0009146v2

Mathematics

Algebraic Geometry

10 pages. Minor changes suggested by the referee. To appear in Pacific Journal of Mathematics

Scientific paper

By proving a particular case of a conjecture of Drezet, we show that a component of the Maruyama scheme of the semi-stable sheaves on the projective space $\PP^n$ of rank n and Chern polynomial $(1+t)^{n+2}$ is isomorphic to the Kronecher moduli $N(n+1,2,n+2)$, for any odd n. In particular, such scheme defines a smooth minimal compactification of the moduli space of the rational normal curves in $\PP^n$, that generalizes the construction defined by G. Ellinsgrud, R. Piene and S. Str{\o}mme in the case $n=3$.

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