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arXiv · 2412.15460

On the Nef cones of blowups of the projective plane

Luíze D'Urso
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Abstract

In this paper, we study the Cremona action on the nef cone of $S_n$, the blowup of $\P^2$ in $n$ very general points, with $n\ge9$. We construct and describe a rational polyhedral fundamental domain of the nef cone for $n=9$ with respect to this action. In the case $n\ge10$, we give a rational polyhedral fundamental domain of the $K_{S_n}$-negative part of the nef cone with respect to the Cremona action.

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BibTeXRIS

Luíze D'Urso. 2024-12-19. On the Nef cones of blowups of the projective plane. https://arxiv.org/abs/2412.15460

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