7 citations · 19 across the 8 of their papers we have counts for
6 papers · 1 filter
Moderate rank jumps on rational elliptic surfaces via construction of conics
Julie Desjardins
This note is devoted to studying certain families of elliptic surfaces with infinitely many fibers with rank at least 3 or 4 revisiting and combining ideas from of Gary Walsh, Salg…
Constant root number on integer fibres of elliptic surfaces
Rena Chu, Julie Desjardins
Rizzo showed that the family of elliptic curves , a well-known example of Washington, has root number for all $t\in\ma…
Geometry of the del Pezzo surface y^2=x^3+Am^6+Bn^6
Julie Desjardins, Bartosz Naskręcki
In this paper, we give an effective and efficient algorithm which on input takes non-zero integers and and on output produces the generators of the Mordell-Weil group of th…
Root number in integer parameter families of elliptic curves
Julie Desjardins
In a previous article, the author proves that the value of the root number varies in a non-isotrivial family of elliptic curves indexed by one parameter running through $\mathb…
Root number of the twists of an elliptic curve
Julie Desjardins
We give an explicit description of the behaviour of the root number in the family given by twists of an elliptic curve by the rational values of a polynomial . In particu…
On the variation of the root number in families of elliptic curves
Julie Desjardins
We show the density of rational points on non-isotrivial elliptic surfaces by studying the variation of the root numbers among the fibers of these surfaces, conditionally to two an…