Determining biholomorphic type of a manifold using combinatorial and algebraic structures

2013/05/22 by Sergei Merenkov, Merenkov, Sergei
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Mathematical Dynamics and Fractals #Topological and Geometric Data Analysis #math.CV

paper · pdf · doi:10.48550/arxiv.1305.5230

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

arxiv created 2013/05/22 · arxiv updated 2013/05/23

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 \Cⁿ.

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