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Journal of Siberian Federal University. Mathematics & Physics, 2008, Volume 1, Issue 1, Pages 42–51 (Mi jsfu5)  
Visualizing Algebraic Curves: from Riemann to Grothendieck

George B. Shabatab

a Institute of Theoretical and Experimental Physics
b Russian State University for the Humanities
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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.
Keywords: Riemann surface, algebraic curves, Hurwitz space.
Received: 23.10.2007
Received in revised form: 20.11.2007
Accepted: 05.12.2007
Bibliographic databases:
UDC: 517.55
Language: English
Citation: George B. Shabat, “Visualizing Algebraic Curves: from Riemann to Grothendieck”, J. Sib. Fed. Univ. Math. Phys., 1:1 (2008), 42–51
Citation in format AMSBIB
\Bibitem{Sha08}
\by George B.~Shabat
\paper Visualizing Algebraic Curves: from Riemann to Grothendieck
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2008
\vol 1
\issue 1
\pages 42--51
\mathnet{http://mi.mathnet.ru/jsfu5}
\elib{https://elibrary.ru/item.asp?id=11482583}
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