Linear Differential Operators for Polynomial Equations (2008)
Olivier Cormier, Michael F. Singer, Barry M. Trager, Barry M, Felix Ulmer, ...
Given a squarefree polynomial P k 0 [x, y], k 0 a number field, we construct a linear differential operator that allows one to calculate the genus of the complex curve defined by P = 0 (when P is...
Olivier Cormier, Michael F. Singer, Felix Ulmer, ...
In this paper we show how to compute the geometric Galois group G Q(x) of a polynomial f 2 Q(x)[Y] by considering the associated linear differential equation L f (Y) = 0 (and constructions of it)...
Olivier Cormier, Campus De Beaulieu, Michael F. Singer, Felix Ulmer
maths.univ-rennes1.fr In this paper we show how to compute the Galois group G of a polynomial f 2 Q(x)[Y] by factoring the associated linear differential equation Lf (Y) = 0 (and constructions of it)...
Linear Dierential Operators for Polynomial Equations (2007)
Olivier Cormier, Felix Ulmer, Michael F. Singer, Barry M. Trager
Given a squarefree polynomial P 2 k 0 [x; y], k 0 a number eld, we construct a linear dierential operator that allows one to calculate the genus of the complex curve dened by P = 0 (when P is...
Linear differential operators for polynomial equations (2002)
Olivier Cormier, Michael F. Singer, Barry M. Trager, Felix Ulmer
Given a squarefree polynomial P ∈ k0[x, y], k0 a number field, we construct a linear differential operator that allows one to calculate the genus of the complex curve defined by P = 0 (when P is...
Cooperating Agents: A Unified Theory of Communication and Social Structure (2001)
In this paper we give the minimal possible degrees of an algebraic solution of the Riccati equation associated to an irreducible linear homogeneous differential equation of order 4 and 5, following...
Computing the Galois Group of a Polynomial Using Linear Differential Equations
Olivier Cormier, Campus De Beaulieu, Michael F. Singer, Felix Ulmer, ...
In this paper we show how to compute the Galois group G of a polynomial f 2 Q(x)[Y ] by factoring the associated linear differential equation Lf (Y ) = 0 (and constructions of it) of minimal order...