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arXiv 2000-09-14 1 views

On the moduli space of the Schwarzenberger bundles

Cascini, Paolo

Original · EN

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 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 ⁿ, that generalizes the construction defined by G. Ellinsgrud, R. Piene and S. Strømme in the case n=3.

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