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arXiv · 1807.02082

Associated form morphism

Maksym Fedorchuk·Alexander Isaev
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Abstract

We study the geometry of the morphism between moduli spaces of hypersurfaces in $\mathbb P^{n-1}$ that sends a smooth hypersurface of degree $d+1$ to its associated hypersurface of degree $n(d-1)$. As a result, we obtain a compactification of the moduli space of smooth hypersurfaces such that the induced rational map from the standard GIT compactification often contracts the discriminant divisor.

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Maksym Fedorchuk, Alexander Isaev. 2018-07-05. Associated form morphism. https://arxiv.org/abs/1807.02082

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