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math.CV2024
Intrinsic complexification of real-analytic varieties
Bernhard Lamel, Jiri Lebl
We introduce a framework for Segre varieties for singular real-analytic subvarieties of a complex space and utilize it to study the intrinsic complexifications of these subvarietie…
math.CV2024
Holomorphic vector fields with real integral manifolds
Martin Kolář, Ilya Kossovskiy, Bernhard Lamel
We classify singular holomorphic vector fields in two-dimensional complex space admitting a (Levi-nonflat) real-analytic invariant 3-fold through the singularity. In this way, we c…