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20002026
most citedOn the Number of Zeros of Abelian Integrals: A Constructive Solution of the Infinitesimal Hilbert Sixteenth Problem

72 citations · 117 across the 35 of their papers we have counts for

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math.CV2018

Complex Cellular Structures

Gal Binyamini, Dmitry Novikov

We introduce the notion of a complex cell, a complexification of the cells/cylinders used in real tame geometry. For and a complex cell we define its holo…

math.CV2013

Multiplicity Operators

Gal Binyamini, Dmitry Novikov

For functions of a single complex variable, points of multiplicity greater than are characterized by the vanishing of the first derivatives. There are various quantitative…

math.CV2011

Intersection multiplicities of Noetherian functions

Gal Binyamini, Dmitry Novikov

We provide a partial answer to the following problem: \emph{give an effective upper bound on the multiplicity of non-isolated common zero of a tuple of Noetherian functions}. More…