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4 papers · 2 filters
Algebraic approximation of analytic sets and mappings
Marcin Bilski
Let {X_n} be a sequence of analytic sets converging to some analytic set X in the sense of holomorphic chains. We introduce a condition which implies that every irreducible compone…
Approximation of sets defined by polynomials with holomorphic coefficients
Marcin Bilski
Let X be an analytic set defined by polynomials whose coefficients a_1,...,a_s are holomorphic functions. We formulate conditions such that for all sequences {a_(1,n)},...,{a_(s,n)…
Proper holomorphic mappings of the spectral unit ball
Wlodzimierz Zwonek
We prove an Alexander type theorem for the spectral unit ball showing that there are no non-trivial proper holomorphic mappings in , .
The image of a finely holomorphic map is pluripolar
Armen Edigarian, Said El Marzguioui, Jan Wiegerinck
We prove that the image of a finely holomorphic map on a fine domain in is pluripolar subset of . We also discuss the relationship between pluripolar h…