EXOTIC ANALYTIC STRUCTURES AND EISENMAN INTRINSIC MEASURES

Authors
Citation
S. Kaliman, EXOTIC ANALYTIC STRUCTURES AND EISENMAN INTRINSIC MEASURES, Israel Journal of Mathematics, 88(1-3), 1994, pp. 411-423
Citations number
17
Categorie Soggetti
Mathematics, General",Mathematics
ISSN journal
00212172
Volume
88
Issue
1-3
Year of publication
1994
Pages
411 - 423
Database
ISI
SICI code
0021-2172(1994)88:1-3<411:EASAEI>2.0.ZU;2-T
Abstract
Using Eisenman intrinsic measures we prove a cancellation theorem. Thi s theorem allows to find new examples of exotic analytic structures on C-n under which we understand smooth complex affine algebraic varieti ers which are diffeomorphic to R(2n) but not biholomorphic to C-n. We also develop a new method of constructing these structures which enabl es us to produce exotic analytic structures on C-3 with a given number of hypersurfaces isomorphic to C-2 and a family of these structures w ith a given number of moduli.