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math.AG2025
Intersection theory and Chern classes on normal varieties
Adrian Langer
We study intersection theory and Chern classes of reflexive sheaves on normal varieties. In particular, we define generalization of Mumford's intersection theory on normal surfaces…
math.AG2025
On birational boundedness of foliated surfaces
Christopher D. Hacon, Adrian Langer
In this paper we prove a result on the effective generation of pluri-canonical linear systems on foliated surfaces of general type. Fix a function $P: \mathbb Z_{\geq 0}\to \mathbb…
math.AG2024
Approximation of semistable bundles on smooth algebraic varieties
Adrian Langer
We prove some strong results on approximation of strongly semistable bundles with vanishing numerical Chern classes by filtrations, whose quotients are line bundles of similar slop…