3 papers
math.CV2025
Notions of Higher Type
Andreea C. Nicoara
Notions of finite type play an important role in several complex variables. The most standard notion is D'Angelo type, which measures the order of contact of holomorphic curves wit…
math.CV2018
Sums of squares in pseudoconvex hypersurfaces and torsion phenomena for Catlin's boundary systems
Alexander Basyrov, Andreea C. Nicoara, Dmitri Zaitsev
Given a pseudoconvex hypersurface in C^n and an arbitrary weight, we show the existence of local coordinates in which the polynomial model contains a particularly simple sum of squ…
math.CV2017
Relating Catlin and D'Angelo -types
Vasile Brinzanescu, Andreea C. Nicoara
We clarify the relationship between the two most standard measurements of the order of contact of q-dimensional complex varieties with a real hypersurface, the Catlin and D'Angelo…