Bulletin of the Korean Mathematical Society (대한수학회보)
- Volume 31 Issue 1
- /
- Pages.15-23
- /
- 1994
- /
- 1015-8634(pISSN)
- /
- 2234-3016(eISSN)
ON THE ADJOINT LINEAR SYSTEM
Abstract
Throughout this paper, we are working on the complex number field C. The aim of this paper is to explain the applications of Theorem 2 in .cint. 1. In the surface theory, the adjoint linear system has played important roles and many tools have been developed to understand it. In the cases of higher dimensional varieties, we don't have any useful tools so far. Theorem 2 implies that it is enough to compute the dimension of the adjoint linear system to check the birationality. We can compute, somehow, the dimension of the adjoint linear system. For example, we can get an information about
Keywords