1 citations · 3 across the 3 of their papers we have counts for
3 papers
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.AG2009★ 1 cited
On Volumes of Arithmetic Line Bundles II
Xinyi Yuan
For a hermitian line bundle over an arithmetic variety, we construct a convex continuous function on the Okounkov body associated to the generic fibre of the line bundle. The integ…