M. Kosters

activity

20152017

most citedNotes on summation polynomials

8 citations · 14 across the 5 of their papers we have counts for

collaborators

Showing math.NTShow all

3 papers · 1 filter

math.NT2017

Genus growth in $Z_{p}$ -towers of function fields

Michiel Kosters, Daqing Wan

Let $K$ be a function field over a finite field $k$ of characteristic $p$ and let $K_{\infty} / K$ be a geometric extension with Galois group $Z_{p}$ . Let $K_{n}$ be the corresp…

math.NT2016★ 4 cited

On the arithmetic of Z_p-extensions

Michiel Kosters, Daqing Wan

This paper contains three parts. In the first part, we give a thorough overview of the theory of Artin-Schreier-Witt extensions: this theory allows one to understand the $\mathbf{Z…

math.NT2015★ 8 cited

Notes on summation polynomials

Michiel Kosters, Sze Ling Yeo

In these short notes, we will show the following. Let F_q be a finite field and let E/\F_q be an elliptic curve. Let S_r be the rth summation/Semaev polynomial for E. Under an assu…

Genus growth in Zp​-towers of function fields

On the arithmetic of Z_p-extensions

Notes on summation polynomials

Genus growth in $Z_{p}$ -towers of function fields