80 citations · 162 across the 21 of their papers we have counts for
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3 papers · 1 filter
math.AG2013★ 1 cited
Relative Noether inequality on fibered surfaces
Xinyi Yuan, Tong Zhang
We prove effective upper bounds on the global sections of nef line bundles of small generic degree over a fibered surface over a field of any characteristic. It can be viewed as a…
math.NT2013★ 1 cited
The arithmetic Hodge index theorem for adelic line bundles I
Xinyi Yuan, Shou-Wu Zhang
This is the first paper of a series. We prove an arithmetic Hodge index theorem for adelic line bundles on projective varieties over number fields. It extends the arithmetic Hodge…
math.NT2013★ 14 cited
The arithmetic Hodge index theorem for adelic line bundles II
Xinyi Yuan, Shou-Wu Zhang
This is the second paper of a series. It extends the results of the first paper from number fields to finitely generated fields, based on the recent theory of adelic line bundles o…