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 $\C^n$.
- Publication:
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arXiv e-prints
- Pub Date:
- May 2013
- DOI:
- 10.48550/arXiv.1305.5230
- arXiv:
- arXiv:1305.5230
- Bibcode:
- 2013arXiv1305.5230M
- Keywords:
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- Mathematics - Complex Variables
- E-Print:
- Ph. D. thesis, Purdue University, 2003, 65 pp