Determining biholomorphic type of a manifold using combinatorial and algebraic structures

Abstract

We settle two problems of reconstructing a biholomorphic type of a manifold. In the first problem we use graphs associated to Riemann surfaces of a particular class. In the second one we use the semigroup structure of analytic endomorphisms of domains in $\C^n$.

Ph. D. thesis, Purdue University, 2003, 65 pp