Journal of Siberian Federal University. Mathematics & Physics / Visualizing Algebraic Curves: from Riemann to Grothendieck

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2008 1 (1)
Authors
Shabat, George B.
Contact information
Russian State University for the Humanities, Miuss sq. 6, Moscow, GSP-3, 125993, Institute of Theoretical and Experimental Physics Bol’shaya Cheremushkinskaya st., 25, Moscow, 117218, Russia, e-mail:
Keywords
Riemann surface; algebraic curves; Hurwitz space
Abstract

We consider the smallest possible ramification. The corresponding pairs are represented by only finite set of points in the individual Hurwitz space, but the set of Riemann surfaces admitting the meromorphic functions with the smallest possible number of critical values is dense in the moduli space.

Pages
42-51
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/617