Note about holomorphic maps on a compact Riemann surface
Lucio Guerra
TL;DR
This paper discusses properties of holomorphic maps on compact Riemann surfaces, revisiting classical theorems related to their structure and mappings.
Contribution
It provides insights or clarifications on the classical theorems of De Franchis and Severi concerning holomorphic maps.
Findings
Reaffirmation of classical theorems on holomorphic maps
Clarification of conditions for mappings between Riemann surfaces
Potential extensions or applications of these theorems
Abstract
Note to a paper of M. Tanabe concerning the classical theorem of M. De Franchis and F. Severi
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Taxonomy
TopicsMeromorphic and Entire Functions · advanced mathematical theories · Geometry and complex manifolds