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위키데이터
- ID : Q115646
말뭉치
- The Newton polygon of is defined to be the lower convex hull of these points.[1]
- Let denote the successive vertices of the Newton polygon, and for let be the slope of the segment.[1]
- Continuing to rotate the string in this manner until the string catches on the point yields the Newton polygon.[1]
- In the figure above, the vertices of the Newton polygon for the truncated exponential polynomial over are , with corresponding slopes .[1]
- 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.[2]
- This diagram shows the Newton polygon forwith positive monomials in red and negative monomials in cyan.[2]
- By convention, a Newton polygon always contains the point at infinity \((0, \infty)\).[3]
- We show that these invariants are lower semicontinuous in families of p-divisible groups of constant Newton polygon.[4]
- Thus they allow refinements of Newton polygon strata.[4]
- So, I compute its Newton polygon.[5]
- The main tool used in this paper is the Newton polygon method for ODE.[6]
- 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.[7]
- 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 .[8]
소스
- ↑ 1.0 1.1 1.2 1.3 Newton polygons and Galois groups
- ↑ 2.0 2.1 Newton polygon
- ↑ Newton Polygons — Sage 9.2 Reference Manual: Combinatorial and Discrete Geometry
- ↑ 4.0 4.1 Stratifications of Newton polygon strata and Traverso's conjectures for p-divisible groups
- ↑ Mathematics Stack Exchange
- ↑ The Newton polygon method for differential equations
- ↑ Newton polygons in the Torelli locus
- ↑ Intrinsicness of the Newton polygon for smooth curves on ℙ¹ x ℙ¹
메타데이터
위키데이터
- ID : Q115646
Spacy 패턴 목록
- [{'LOWER': 'newton'}, {'LEMMA': 'polygon'}]