EUDML | $p$-adic dynamical systems and formal groups

Skip to main content (access key 's'), Skip to navigation (access key 'n'), Accessibility information (access key '0')

Displaying similar documents to “ $p$ -adic dynamical systems and formal groups”

On the Łojasiewicz exponent of the gradient of a holomorphic function

Andrzej Lenarcik (1998)

Banach Center Publications

Similarity:

The Łojasiewicz exponent of the gradient of a convergent power series h(X,Y) with complex coefficients is the greatest lower bound of the set of λ > 0 such that the inequality ${| g r a d h (x, y) | \geq c | (x, y) |}^{λ}$ holds near $0 \in C^{2}$ for a certain c > 0. In the paper, we give an estimate of the Łojasiewicz exponent of grad h using information from the Newton diagram of h. We obtain the exact value of the exponent for non-degenerate series.

On the Poincaré series associated to the p-adic points on a curve

Dirk Bollaerts (1988)

Acta Arithmetica

Similarity:

Poles of $p$ -adic complex powers and Newton polyhedra

Jan Denef (1984-1985)

Groupe de travail d'analyse ultramétrique

Similarity:

Nonarchimedean dynamical systems

Jonathan Lubin (1994)

Compositio Mathematica

Similarity:

Traverso’s Isogeny Conjecture for $p$ -Divisible Groups

Marc-Hubert Nicole, Adrian Vasiu (2007)

Rendiconti del Seminario Matematico della Università di Padova

Similarity:

The Newton polygon of a product of power series.

Detlev W. Hoffmann (1994)

Manuscripta mathematica

Similarity:

Newton polygons and formal groups: Conjectures by Manin and Grothendieck.

Oort, Frans (2000)

Annals of Mathematics. Second Series

Similarity:

The second term of the asymptotics of the monodromy map in case of two even edges of Newton diagram.

Medvedeva, N., Batcheva, E. (2000)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Similarity:

On the Newton stratification

Michael Rapoport (2001-2002)

Séminaire Bourbaki

Similarity: