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Equivalent characterizations of Bloch functions

Zhangjian Hu (1994)

Colloquium Mathematicae

In this paper we obtain some equivalent characterizations of Bloch functions on general bounded strongly pseudoconvex domains with smooth boundary, which extends the known results in [1, 9, 10].

Equivariant virtual Betti numbers

Goulwen Fichou (2008)

Annales de l’institut Fourier

We define a generalised Euler characteristic for arc-symmetric sets endowed with a group action. It coincides with the Poincaré series in equivariant homology for compact nonsingular sets, but is different in general. We put emphasis on the particular case of / 2 , and give an application to the study of the singularities of Nash function germs via an analog of the motivic zeta function of Denef and Loeser.

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