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The Geometry of Cubic Polynomials

โœ Scribed by Clery, D.


Book ID
121879501
Publisher
Mathematical Association of America
Year
2014
Tongue
English
Weight
307 KB
Volume
87
Category
Article
ISSN
0025-570X

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๐Ÿ“œ SIMILAR VOLUMES


On the geometry of Riemannian cubic poly
โœ M. Camarinha; F. Silva Leite; P. Crouch ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 185 KB

We continue the work of Crouch and Silva Leite on the geometry of cubic polynomials on Riemannian manifolds. In particular, we generalize the theory of Jacobi fields and conjugate points and present necessary and sufficient optimality conditions.

Geometry of Cubic Polynomials
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โœ Wolfgang M. Ruppert ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 251 KB

It is shown that an absolutely irreducible homogeneous cubic polynomial f # Z[x 0 , x 1 , x 2 ] is also absolutely irreducible mod p if p>1248H 6 where H is the height of f. Modulo a general number theoretic conjecture an example shows that the result is best possible.

Differentiators and the geometry of poly
โœ Rajesh Pereira ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 135 KB

In 1959, Davis introduced the concept of a differentiator of an operator on a finite-dimensional Hilbert space. We prove that every such operator possesses a differentiator. We also use the theory of differentiators to solve several problems in the geometry of polynomials. For instance, we answer in