The Newton polytope of the optimal differential operator for an algebraic curve
Vitaly A. Krasikova, Timur M. Sadykovb
a Institute of Mathematics and Computer Science, Siberian Federal University, Krasnoyarsk, Russia
b Department of Information Technologies, Russian State University of Trade and Economics, Moscow, Russia
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.
algebraic function, minimal differential operator, Newton polytope.
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Received in revised form: 10.01.2013
Vitaly A. Krasikov, Timur M. Sadykov, “The Newton polytope of the optimal differential operator for an algebraic curve”, J. Sib. Fed. Univ. Math. Phys., 6:2 (2013), 200–210
Citation in format AMSBIB
\by Vitaly~A.~Krasikov, Timur~M.~Sadykov
\paper The Newton polytope of the optimal differential operator for an algebraic curve
\jour J. Sib. Fed. Univ. Math. Phys.
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