Can I read One-basedness and Reductions of Elliptic Curves Over Real Closed Fields on EtoBox?

One-basedness and Reductions of Elliptic Curves Over Real Closed Fields by Penazzi, Davide is a scholarly article available to read on EtoBox.

What is One-basedness and Reductions of Elliptic Curves Over Real Closed Fields about?

Building on the positive solution of Pillay's conjecture we present a notion of "intrinsic" reduction for elliptic curves over a real closed field K. We compare such notion with the traditional algebro-geometric reduction and produce a classification of the group of K-points of an elliptic curve E with three "real" roots according to the way E reduces (algebro-geometrically) and the geometric complexity of the "intrinsically" reduced curve.

Author

Penazzi, Davide

Published

2012

Language

EN