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arXiv · 2109.03736

Log Fano blowups of mixed products of projective spaces and their effective cones

Tim Grange·Elisa Postinghel·Artie Prendergast-Smith
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Abstract

We compute the cones of effective divisors on blowups of $\mathbb{P}^1 \times \mathbb{P}^2$ and $\mathbb{P}^1 \times \mathbb{P}^3$ in up to 6 points. We also show that all these varieties are log Fano, giving a conceptual explanation for the fact that all the cones we compute are rational polyhedral.

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Tim Grange, Elisa Postinghel, Artie Prendergast-Smith. 2021-09-08. Log Fano blowups of mixed products of projective spaces and their effective cones. https://arxiv.org/abs/2109.03736

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