Estimation of Arithmetic Linear Series

In the paper [5], Lazarsfeld and Mustaţ ă propose general and systematic usage of Okounkov’s idea in order to study asymptotic behavior of linea r series on an algebraic variety. It is a very simple way, but it yields a lot of consequences, li ke Fujita’s approximation theorem. Yuan [8] generalized this way to the arithmetic situat on, and he established… (More)