72 citations · 140 across the 39 of their papers we have counts for
4 papers · 1 filter
Multiplicity estimates, analytic cycles and Newton polytopes
Gal Binyamini
We consider the problem of estimating the multiplicity of a polynomial when restricted to the smooth analytic trajectory of a (possibly singular) polynomial vector field at a given…
Multiplicities of Noetherian deformations
Gal Binyamini, Dmitry Novikov
The \emph{Noetherian class} is a wide class of functions defined in terms of polynomial partial differential equations. It includes functions appearing naturally in various branche…
Multiplicity Estimates: a Morse-theoretic approach
Gal Binyamini
The problem of estimating the multiplicity of the zero of a polynomial when restricted to the trajectory of a non-singular polynomial vector field, at one or several points, has be…
Finiteness properties of formal Lie group actions
Gal Binyamini
Following ideas of Arnold and Seigal-Yakovenko, we prove that the space of matrix coefficients of a formal Lie group action belongs to a Noetherian ring. Using this result we exten…