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arXiv · 1503.05420

Nodal complete intersection threefold with defect

Remke Kloosterman
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Abstract

In this paper we show that a nodal complete intersection threefold $X$ in $\mathbb{P}^{3+c}$ with defect, but without induced defect, has at least $\sum_{i\leq j} (d_i-1)(d_j-1)$ nodes, provided either $c=2$ or $d_c>\sum_{i=1}^{c-1} d_i$ holds.

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Remke Kloosterman. 2015-03-18. Nodal complete intersection threefold with defect. https://arxiv.org/abs/1503.05420

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