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arXiv · 1504.07485

Elementary proof of reducedness of Hilbert schemes of points in higher dimensions

Nadezda Timofeeva
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Abstract

The criterion for an affine primary algebra over the field to be integral, is proven. Using this criterion we give a simple proof that Hilbert scheme of 0-dimensional subschemes of length $l$ of nonsingular $d$-dimensional algebraic variety is reduced for all $d$ and $l$.

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Nadezda Timofeeva. 2015-04-28. Elementary proof of reducedness of Hilbert schemes of points in higher dimensions. https://arxiv.org/abs/1504.07485

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