## Linear Differential Operators for Polynomial Equations

### Cached

### Download Links

- [www.maths.univ-rennes1.fr]
- [www4.ncsu.edu:8030]
- [www4.ncsu.edu]
- [www4.ncsu.edu]
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### Other Repositories/Bibliography

by
Olivier Cormier
,
Felix Ulmer
,
Michael F. Singer
,
Barry M. Trager

Citations: | 15 - 4 self |

### BibTeX

@MISC{Cormier_lineardifferential,

author = {Olivier Cormier and Felix Ulmer and Michael F. Singer and Barry M. Trager},

title = {Linear Differential Operators for Polynomial Equations},

year = {}

}

### OpenURL

### Abstract

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 absolutely irreducible), the absolute factorization of P over the algebraic closure of k 0 , and calculate information concerning the Galois group of P over k 0 (x) as well as over k 0 (x).