# Energy quantization for triholomorphic maps

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In analogy with the holomorphic case, we compare the topology of Milnor fibrations associated to a meromorphic germ f / g: the local Milnor fibrations given on Milnor tubes over punctured discs around the critical values of f / g, and the Milnor fibration on a sphere.

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Suppose that D âŠ‚ â„‚n is a domain with smooth boundary âˆ‚ D, E âŠ‚ âˆ‚ D is a boundary subset of positive Lebesgue measure mes( E) > 0, and F âŠ‚ G is a nonpluripolar compact set in a strongly pseudoconvex domain G âŠ‚ â„‚m. We prove that, under some...

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Let $$g$$ be an involution of a compact closed manifold $$X$$ such that the fixed-point set $$X^{g}$$ is middle dimensional. Under the assumption that the normal bundle of the fixed-point set is either the tangent or co-tangent bundle conditions on the equivariant invariants of $$X$$ arise. In...

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In this paper we extend the notion of subordination from the geometric theory of analytic functions of one complex variable to the fuzzy sets theory. The purpose of this paper is to define the notion of fuzzy subordination and to prove the main properties of this notion. We also introduce the...

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We construct an infinite family of triples (Gk,Hk,Tk), where Gk are 2-groups of increasing order, Hk are index 2 subgroups of Gk, and Tk are pairs of generators of Hk. We show that the triples uk=(Gk,Hk,Tk) are mixed Beauville structures if k is not a power of 2. This is the first known infinite...

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We prove some fundamental theorems for holomorphic curves on the annuli crossing a finite set of fixed hyperplanes in the general position in â„™( â„‚) with ramification.

- UNIVERSAL OVERCONVERGENCE AND OSTROWSKI GAPS FOR HOLOMORPHIC FUNCTIONS OF SEVERAL VARIABLES. JARNICKI, MAREK; SICIAK, JÓZEF // Universitatis Iagellonicae Acta Mathematica;2016, Vol. 53, p27
We study the universal overconvergence and its relations with Ostrowski gaps for holomorphic functions of several complex variables.