1 citations · 2 across the 3 of their papers we have counts for
6 papers
Higher spectral sequences
Benjamin Matschke
In this article we construct what we call a higher spectral sequence for any chain complex (or topological space) that is filtered in compatible ways. For this we extend the pr…
Quadratic Fields Admitting Elliptic Curves with Rational -Invariant and Good Reduction Everywhere
Benjamin Matschke, Abhijit S. Mudigonda
Clemm and Trebat-Leder (2014) proved that the number of quadratic number fields with absolute discriminant bounded by over which there exist elliptic curves with good reduction…
Elliptic curves with good reduction outside of the first six primes
Alex J. Best, Benjamin Matschke
We present a database of rational elliptic curves, up to Q-isomorphism, with good reduction outside {2,3,5,7,11,13}. We provide a heuristic involving the abc and BSD conjectures th…
Proofs by example
Benjamin Matschke
We study the proof scheme "proof by example" in which a general statement can be proved by verifying it for a single example. This strategy can indeed work if the statement in ques…
Quadrilaterals inscribed in convex curves
Benjamin Matschke
We classify the set of quadrilaterals that can be inscribed in convex Jordan curves, in the continuous as well as in the smooth case. This answers a question of Makeev in the speci…
Solving S-unit, Mordell, Thue, Thue-Mahler and generalized Ramanujan-Nagell equations via Shimura-Taniyama conjecture
Rafael von Känel, Benjamin Matschke
In the first part we construct algorithms which we apply to solve S-unit, Mordell, cubic Thue, cubic Thue-Mahler and generalized Ramanujan-Nagell equations. As a byproduct we obtai…