Exotic analytic structures and Eisenman intrinsic measures. (English) Zbl 0821.14025

Kaliman, Shulim

Isr. J. Math. 88, No. 1-3, 411-423 (1994).

Author’s abstract: “Using Eisenman intrinsic measures we prove a cancellation theorem. This theorem allows to find new examples of exotic analytic structures on \(\mathbb{C}^ n\) under which we understand smooth complex affine algebraic varieties which are diffeomorphic to \(\mathbb{R}^{2n}\) but not biholomorphic to \(\mathbb{C}^ n\). We also develop a new method of constructing these structures with a given number of hypersurfaces isomorphic to \(\mathbb{C}^ 2\) and a family of these structures with a given number of moduli”.

Reviewer: N.Mihalache (Bucureşti)

MSC:

14J10	Families, moduli, classification: algebraic theory
14J15	Moduli, classification: analytic theory; relations with modular forms
32G05	Deformations of complex structures

Keywords:

cancellation theorem; exotic analytic structures; number of moduli

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