뉴턴 다각형

노트

위키데이터

• ID : Q115646

말뭉치

1. The Newton polygon of is defined to be the lower convex hull of these points.
2. Let denote the successive vertices of the Newton polygon, and for let be the slope of the segment.
3. Continuing to rotate the string in this manner until the string catches on the point yields the Newton polygon.
4. In the figure above, the vertices of the Newton polygon for the truncated exponential polynomial over are , with corresponding slopes .
5. After the introduction of the p-adic numbers, it was shown that the Newton polygon is just as useful in questions of ramification for local fields, and hence in algebraic number theory.
6. This diagram shows the Newton polygon forwith positive monomials in red and negative monomials in cyan.
7. By convention, a Newton polygon always contains the point at infinity \((0, \infty)\).
8. We show that these invariants are lower semicontinuous in families of p-divisible groups of constant Newton polygon.
9. Thus they allow refinements of Newton polygon strata.
10. So, I compute its Newton polygon.
11. The main tool used in this paper is the Newton polygon method for ODE.
12. As a first example, for all special families of cyclic covers of the projective line considered by Moonen, we proved that every expected Newton polygon occurs via tools from PEL Shimura varieties.
13. Let C be a smooth projective curve in of genus , and assume that it is birationally equivalent to a curve defined by a Laurent polynomial that is non-degenerate with respect to its Newton polygon .