Cones of divisors on $\mathbb{P}^3$ blown up at eight very general points
Autor: | Stenger, Isabel, Xie, Zhixin |
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Rok vydání: | 2023 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | Let $X$ be the blowup of $\mathbb{P}^3$ at eight very general points. We give a complete description of its nef and effective cones. Moreover, we show that there exists a rational polyhedral fundamental domain for the action of a certain Weyl group on the effective movable cone of $X$. Comment: 36 pages. We added Theorem 3.5 and extended Theorem 1.4 by showing that the effective cone is closed |
Databáze: | arXiv |
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