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Discrete period matrices and related topics

Name: Discrete period matrices and related topics
Creator: Mercat, Christian
Keywords: 52C26, Mathematics - Complex Variables, 39A12, 49M25, 30G25, FOS: Mathematics, 30G25; 39A12; 52C26; 49M25, FOS: Physical sciences, Mathematical Physics (math-ph), 0101 mathematics

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2001Embargo end date: 01 Jan 2001Publisher:arXiv

Authors: Mercat, Christian;

doi: 10.48550/arxiv.math-ph/0111043

arXiv: http://arxiv.org/abs/math-ph/0111043

Discrete period matrices and related topics

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Abstract

We continue our investigation of Discrete Riemann Surfaces with the discussion of the discrete analogs of period matrices, Riemann's bilinear relations, exponential of constant argument, series and electrical moves. We show that given a refining sequence of critical maps, the discrete period matrix converges to the continuous one.

35 pages; uses youngtab (provided). Fix some bugs, add comments and examples

Keywords

52C26, Mathematics - Complex Variables, 39A12, 49M25, 30G25, FOS: Mathematics, 30G25; 39A12; 52C26; 49M25, FOS: Physical sciences, Mathematical Physics (math-ph), Complex Variables (math.CV), Mathematical Physics

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