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  • 1.
    Borell, Stefan
    Mid Sweden University, Faculty of Science, Technology and Media, Department of Natural Sciences, Engineering and Mathematics.
    The Ball Embedding Property of the Open Unit Disc2011In: Proceedings of the American Mathematical Society, ISSN 0002-9939, E-ISSN 1088-6826, Vol. 130, no 10, p. 3573-3581Article in journal (Refereed)
    Abstract [en]

    We prove that the open unit disc Delta in C satisfies the ball embedding property in C(2); i.e., given any discrete set of discs in C(2) there exists a proper holomorphic embedding Delta hooked right arrow C(2) which passes arbitrarily close to the discs. It is already known that C does not satisfy the ball embedding property in C(2) and that Delta satisfies the ball embedding property in C(n) for n > 2.

  • 2.
    Ivarsson, Björn
    et al.
    Mid Sweden University, Faculty of Science, Technology and Media, Department of applied science and design.
    Kutzschebauch, F.
    Institute of Mathematics, University of Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland.
    On the number of factors in the unipotent factorization of holomorphic mappings into SL2(C)2012In: Proceedings of the American Mathematical Society, ISSN 0002-9939, E-ISSN 1088-6826, Vol. 140, no 3, p. 823-838Article in journal (Refereed)
    Abstract [en]

    We estimate the number of unipotent elements needed to factor a null-homotopic holomorphic map from a finite dimensional reduced Stein space X into SL2 (C).

  • 3.
    Lind, Andreas
    et al.
    Mid Sweden University, Faculty of Science, Technology and Media, Department of Natural Sciences, Engineering and Mathematics.
    Kutzschebauch, Frank
    Univ Bern, Inst Math, CH-3012 Bern, Switzerland.
    Holomorphic automorphisms of Danielewski surfaces I: Density of the group of overshears2011In: Proceedings of the American Mathematical Society, ISSN 0002-9939, E-ISSN 1088-6826, Vol. 139, no 11, p. 3915-3927Article in journal (Refereed)
    Abstract [en]

    We define the notion of shears and overshears on a Danielewski surface. We show that the group generated by shears and overshears is dense (in the compact open topology) in the path-connected component of the identity of the holomorphic automorphism group.

  • 4.
    Porten, Egmont
    Mid Sweden University, Faculty of Science, Technology and Media, Department of Science Education and Mathematics. Uniwersytet Jana Kochanowskiego Kielcach, Inst Matemat, Kielce, Poland.
    Polynomial hulls and analytic discs2017In: Proceedings of the American Mathematical Society, ISSN 0002-9939, E-ISSN 1088-6826, Vol. 145, no 10, p. 4443-4448Article in journal (Other academic)
    Abstract [en]

    The goal of the present note is to construct a class of examples for connected compact sets K subset of C-n whose polynomial hull (K) over cap cannot be covered by analytic discs with boundaries contained in an arbitrarily small neighborhood of K. This gives an answer to a recent question raised by B. Drinovec Drnovsek and F. Forstneric.

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