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arXiv · 1807.10373

Smoothable zero dimensional schemes and special projections of algebraic varieties

Joachim Jelisiejew·Grzegorz Kapustka·Michal Kapustka
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Abstract

We study the degrees of generators of the ideal of a projected Veronese variety $v_2(\mathbb{P}^3)\subset \mathbb{P}^9$ to $\mathbb{P}^6$ depending on the center of projection. This is related to the geometry of zero dimensional schemes of length $8$ in $\mathbb{A}^4$, Cremona transforms of $\mathbb{P}^6$, and the geometry of Tonoli Calabi-Yau threefolds of degree $17$ in $\mathbb{P}^6$.

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Joachim Jelisiejew, Grzegorz Kapustka, Michal Kapustka. 2018-07-26. Smoothable zero dimensional schemes and special projections of algebraic varieties. https://arxiv.org/abs/1807.10373

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