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math.NT2014★ 1 cited
Effective Bounds of Linear Series on Algebraic Varieties and Arithmetic Varieties
Xinyi Yuan, Tong Zhang
In this paper, we prove effective upper bounds for effective sections of line bundles on projective varieties and hermitian line bundles on arithmetic varieties in terms of the vol…
math.NT2012★ 9 cited
Effective bound of linear series on arithmetic surfaces
Xinyi Yuan, Tong Zhang
We prove an effective upper bound on the number of effective sections of a hermitian line bundle over an arithmetic surface. It is an effective version of the arithmetic Hilbert--S…