Abstract Let X be a nonsingular complex projective surface. The Weyl and Zariski chambers give two interesting decompositions of the big cone of X. Following the ideas of [T. Bauer and M. Funke, Weyl and Zariski chambers on K3 surfaces, Forum Math. 24 2012, 3, 609–625] and [S. A. Rams and T. Szemberg, When are Zariski chambers numerically determined?, Forum Math. 28 2016, 6, 1159–1166], we study these two decompositions and determine when a Weyl chamber is contained in the interior of a Zariski chamber and vice versa. We also determine when a Weyl chamber can intersect non-trivially with a Zariski chamber.

中文翻译：

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投影面上的 Weyl 和 Zariski 室

摘要 令 X 为非奇异复射影面。Weyl 和 Zariski 室给出了 X 的大锥体的两个有趣的分解。Bauer 和 M. Funke，K3 表面上的 Weyl 和 Zariski 室，Forum Math。24 2012, 3, 609–625] 和 [SA Rams 和 T. Szemberg，Zariski 室何时以数字方式确定？，论坛数学。28 2016, 6, 1159–1166]，我们研究了这两种分解，并确定外尔室何时包含在 Zariski 室的内部，反之亦然。我们还确定了 Weyl 室何时可以与 Zariski 室非平凡地相交。