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math.AG2020
Big Picard Theorem for jet differentials and Non-archimedean Ax-Lindemann Theorem
Dinh Tuan Huynh, Ruiran Sun, Song-Yan Xie
By implementing jet differential techniques in non-archimedean geometry, we obtain a big Picard type extension theorem, which generalizes a previous result of Cherry and Ru. As app…
math.CV2020
On the Weyl-Ahlfors theory of derived curves
Dinh Tuan Huynh, Song-Yan Xie
For derived curves intersecting a family of decomposable hyperplanes in subgeneral position, we obtain an analog of Cartan-Nochka Second Main Theorem, generalizing a classical resu…
math.CV2020
Intersection of (1,1)-currents and the domain of definition of the Monge-Ampere operator
Dinh Tuan Huynh, Lucas Kaufmann, Duc-Viet Vu
We study the Monge-Amp\` ere operator within the framework of Dinh-Sibony's intersection theory defined via density currents. We show that if is a plurisubharmonic function bel…