Article ID Journal Published Year Pages File Type
423388 Electronic Notes in Theoretical Computer Science 2006 12 Pages PDF
Abstract

Extending the work of [A. Pillay, T. Scanlon, Meromorphic groups, Trans. AMS 355 (10) (2003) 3843–3859] on groups definable in compact complex manifolds and of [M. Aschenbrenner, R. Moosa, T. Scanlon, Groups in the theory of compact complex spaces, 2005] on strongly minimal groups definable in nonstandard compact complex manifolds, we classify all groups definable in nonstandard compact complex manifolds showing that if G is such a group then there are a linear algebraic group L, a definably compact group T, and definable exact sequence 1→L→G→T→1.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics