Some results on fake quadrics

Jianqiang Yang

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arXiv · 2307.11175

Some results on fake quadrics

Jianqiang Yang

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Abstract

In this paper, we obtain several results on fake quadrics. First, we describe the cones $\operatorname{Nef}(S)$ and $\overline{\operatorname{Eff}(S)}$, and then provide a criterion for determining whether a divisor on a fake quadric is ample or effective, respectively. Second, we show that no fake quadric can be embedded into $\mathbb P^4$. Finally, we establish the bounded cohomology property for fake quadrics.

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Jianqiang Yang. 2023-06-16. Some results on fake quadrics. https://arxiv.org/abs/2307.11175

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