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math.CV2018★ 1 cited
Closed geodesics and pluricanonical sections on ball quotients
Tatyana Barron
We obtain asymptotics of sequences of the holomorphic sections of the pluricanonical bundles on ball quotients associated to closed geodesics. A nonvanishing result follows.
math.CV2018
On vector-valued automorphic forms on bounded symmetric domains
Nadia Alluhaibi, Tatyana Barron
We prove a spanning result for vector-valued Poincaré series on a bounded symmetric domain. We associate a sequence of holomorphic automorphic forms to a submanifold of the domain.…