Affiliation:
1. Chennai Mathematical Institute, H1 SIPCOT IT Park, Siruseri, Kelambakkam603103, India
2. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai400005, India
Abstract
AbstractLet 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.
Subject
Applied Mathematics,General Mathematics
Reference22 articles.
1. Weyl and Zariski chambers on K3 surfaces;Forum Math.,2012
2. Negative curves on special rational surfaces;Analytic and Algebraic Geometry 3,2019
3. Complete linear systems on rational surfaces;Trans. Amer. Math. Soc.,1985
4. The theorem of Riemann–Roch for high multiples of an effective divisor on an algebraic surface;Ann. of Math. (2),1962
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献