8 citations · 14 across the 5 of their papers we have counts for
5 papers
On the structure of elliptic curves over finite extensions of with additive reduction
Michiel Kosters, René Pannekoek
Let be a prime and let be a finite extension of . Let be an elliptic curve with additive reduction. In this paper, we study the topological group struct…
Genus growth in -towers of function fields
Michiel Kosters, Daqing Wan
Let be a function field over a finite field of characteristic and let be a geometric extension with Galois group . Let be the corresp…
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…
On the last fall degree of zero-dimensional Weil descent systems
Ming-Deh A. Huang, Michiel Kosters, Yun Yang +1
In this article we will discuss a new, mostly theoretical, method for solving (zero-dimensional) polynomial systems, which lies in between Gröbner basis computations and the heuris…
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…