72 citations · 140 across the 39 of their papers we have counts for
10 papers · 1 filter
Algebraic Hodge generic points are dense
Gregorio Baldi, Gal Binyamini, David Urbanik
Let be a quasi-projective family of varieties defined over . We show that the points of that are H…
Log-Noetherian functions
Gal Binyamini
We introduce the class of \emph{Log-Noetherian} (LN) functions. These are holomorphic solutions to algebraic differential equations (in several variables) with logarithmic singular…
Effective computations for weakly optimal subvarieties
Gal Binyamini, Christopher Daw
Ren and the second author established that the weakly optimal subvarieties (e.g. maximal weakly special subvarieties) of a subvariety of a Shimura variety arise in finitely man…
The Yomdin-Gromov algebraic lemma revisited
Gal Binyamini, Dmitry Novikov
In 1987, Yomdin proved a lemma on smooth parametrizations of semialgebraic sets as part of his solution of Shub's entropy conjecture for maps. The statement was further…
Point counting for foliations over number fields
Gal Binyamini
We consider an algebraic variety and its foliation, both defined over a number field. We prove upper bounds for the geometric complexity of the intersection between a leaf of the f…
Point counting and Wilkie's conjecture for non-archimedean Pfaffian and Noetherian functions
Gal Binyamini, Raf Cluckers, Dmitry Novikov
We consider the problem of counting polynomial curves on analytic or definable subsets over the field , as a function of the degree . A result of this typ…
Some effective estimates for André-Oort in
Gal Binyamini
Let be a subvariety defined over a number field and let be a special point not contained in a positive-dimensional special sub…
Bezout-type Theorems for Differential Fields
Gal Binyamini
We prove analogs of the Bezout and the Bernstein-Kushnirenko-Khovanskii theorems for systems of algebraic differential conditions over differentially closed fields. Namely, given a…
Pfaffian Intersections and Multiplicity Cycles
Gal Binyamini
We consider the problem of estimating the intersection multiplicity between an algebraic variety and a Pfaffian foliation, at every point of the variety. We show that this multipli…
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…