Lifting mappings over invariants of finite groups.

Kriegl, A.; Losik, M.; Michor, P.W.; Rainer, A.

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Displaying similar documents to “Lifting mappings over invariants of finite groups.”

Tensor fields and connections on holomorphic orbit spaces of finite groups.

Kriegl, Andreas, Losik, Mark, Michor, Peter W. (2003)

Journal of Lie Theory

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On the order of holomorphic and $c$ -holomorphic functions.

Denkowski, Maciej P. (2007)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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Injective endomorphisms of algebraic and analytic sets

Sławomir Cynk, Kamil Rusek (1991)

Annales Polonici Mathematici

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We prove that every injective endomorphism of an affine algebraic variety over an algebraically closed field of characteristic zero is an automorphism. We also construct an analytic curve in ℂ⁶ and its holomorphic bijection which is not a biholomorphism.

Holomorphic functions with singularities on algebraic sets.

Sičiak, Józef (2001)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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Extension phenomena for holomorphic geometric structures.

Mckay, Benjamin (2009)

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Holomorphic non-holonomic differential systems on complex manifolds

S. Dimiev (1991)

Annales Polonici Mathematici

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We study coherent subsheaves 𝓓 of the holomorphic tangent sheaf of a complex manifold. A description of the corresponding 𝓓-stable ideals and their closed complex subspaces is sketched. Our study of non-holonomicity is based on the Noetherian property of coherent analytic sheaves. This is inspired by the paper [3] which is related with some problems of mechanics.

Subordination theory for holomorphic mappings of several complex variables

Gabriela Kohr, Mirela Kohr-Ile (1996)

Banach Center Publications

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The authors obtain a generalization of Jack-Miller-Mocanu’s lemma and, using the technique of subordinations, deduce some properties of holomorphic mappings from the unit polydisc in $ℂ^{n}$ into $ℂ^{n}$ .

Finite determinacy of dicritical singularities in $(ℂ^{2}, 0)$

Gabriel Calsamiglia-Mendlewicz (2007)

Annales de l’institut Fourier

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For germs of singularities of holomorphic foliations in $(ℂ^{2}, 0)$ which are regular after one blowing-up we show that there exists a functional analytic invariant (the transverse structure to the exceptional divisor) and a finite number of numerical parameters that allow us to decide whether two such singularities are analytically equivalent. As a result we prove a formal-analytic rigidity theorem for this kind of singularities.

On proper discs in complex manifolds

Barbara Drinovec Drnovšek (2007)

Annales de l’institut Fourier

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Let $X$ be a complex manifold of dimension at least $2$ which has an exhaustion function whose Levi form has at each point at least $2$ strictly positive eigenvalues. We construct proper holomorphic discs in $X$ through any given point and in any given direction.

A note on the Kobayashi pseudodistance and the tautness of holomorphic fiber bundles

Do Duc Thai, Nguyen Le Huong (1993)

Annales Polonici Mathematici

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We show a relation between the Kobayashi pseudodistance of a holomorphic fiber bundle and the Kobayashi pseudodistance of its base. Moreover, we prove that a holomorphic fiber bundle is taut iff both the fiber and the base are taut.

Small divisors and large multipliers

Boele Braaksma, Laurent Stolovitch (2007)

Annales de l’institut Fourier

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We study germs of singular holomorphic vector fields at the origin of $ℂ^{n}$ of which the linear part is $1$ -resonant and which have a polynomial normal form. The formal normalizing diffeomorphism is usually divergent at the origin but there exists holomorphic diffeomorphisms in some “sectorial domains” which transform these vector fields into their normal form. In this article, we study the interplay between the small divisors phenomenon and the Gevrey character of the sectorial normalizing...