K. Nguyen

activity

20162023

most citedThe dimension growth conjecture, polynomial in the degree and without logarithmic factors

19 citations · 44 across the 11 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.NT2020

On the motivic oscillation index and bound of exponential sums modulo $p^{m}$ via analytic isomorphisms

Kien Huu Nguyen, Willem Veys

Let $f$ be a polynomial in $n$ variables over some number field and $Z$ a subscheme of affine $n$ -space. The notion of motivic oscillation index of $f$ at $Z$ was initiated by Cluc…

math.NT2020★ 3 cited

Combining Igusa's conjectures on exponential sums and monodromy with semi-continuity of the minimal exponent

Raf Cluckers, Kien Huu Nguyen

We combine two of Igusa's conjectures with recent semi-continuity results by Mustaţă and Popa to form a new, natural conjecture about bounds for exponential sums. These bounds have…

On the motivic oscillation index and bound of exponential sums modulo pm via analytic isomorphisms

Combining Igusa's conjectures on exponential sums and monodromy with semi-continuity of the minimal exponent

On the motivic oscillation index and bound of exponential sums modulo $p^{m}$ via analytic isomorphisms