Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2013 6 (2)
- Authors
- Krasikov, Vitaly A.; Sadykov, Timur M.
- Contact information
- Krasikov, Vitaly A.: Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041 Russia; e-mail: ; Sadykov, Timur M.: Department of Information Technologies Russian State University of Trade and Economics, Moscow, 125993, Russia; e-mail:
- Keywords
- algebraic function; minimal differential operator; Newton polytope
- Abstract
We investigate the linear differential operator with polynomial coefficients whose space of holomorphic solutions is spanned by all the branches of a function defined by a generic algebraic curve. The main result is a description of the coefficients of this operator in terms of their Newton polytopes.
- Pages
- 200–210
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/9667
Journal of Siberian Federal University. Mathematics & Physics / The Newton Polytope of the Optimal Differential Operator for an Algebraic Curve
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