17 citations · 65 across the 10 of their papers we have counts for
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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…