8 citations · 28 across the 13 of their papers we have counts for
4 papers · 1 filter
Metrized ample line bundles in non-Archimedean geometry II
Yanbo Fang
We introduce a class of semipositive metrics on ample line bundles in non-Archimedean geometry, called Shilov finite metrics. We calculate the determinant metric distorsion in the…
Critical Fubini-Study metrics over non-archimedean fields
Yanbo Fang
Over a non-archimedean local place, the height of a projective variety with respect to a very ample line bundle equipped with a Fubini-Study metric is related to the naive height o…
On the non-archimedean Monge-Ampère equation in mixed characteristic
Yanbo Fang, Walter Gubler, Klaus Künnemann
Let X be a smooth projective variety over a complete discretely valued field of mixed characteristic. We solve non-archimedean Monge-Ampère equations on X assuming resolution and e…
Non-Archimedean metric extension for semipositive line bundles
Yanbo Fang
For a projective variety defined over a non-Archimedean complete non-trivially valued field , and a semipositive metrized line bundle over it, we establish a metric…