80 citations · 162 across the 21 of their papers we have counts for
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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…
math.NT2012★ 1 cited
Volumes of Arithmetic Okounkov Bodies
Xinyi Yuan
This paper proves the volume of the arithmetic Okounkov body, constructed from a hermitian line bundle on an arithmetic variety by the author in a previous paper, is equal to the t…