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Apolar Ideal and Normal Bundle of Rational Curves

As in our previous work [1] we address the problem to determine the splitting of the normal bundle of rational curves. With apolarity theory we are able to characterize some particular subvarieties in some Hilbert scheme of rational curves, defined by the splitting type of the normal bundle and the restricted tangent bundle.

preprint2012arXivOpen access
Alessandro Bernardi
math.AG
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Alessandro Bernardi

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